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Finding the Third Proportional to 1,019,574,473 and 1,574,401,313.50

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Solution

The third proportional to 1,019,574,473 and 1,574,401,313.50 is: 2,431,150,996.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019,574,473 : 1,574,401,313.50 = 1,574,401,313.50 : x
  2. Step 2: Convert to fraction form
    1,019,574,473/1,574,401,313.50 = 1,574,401,313.50/x
  3. Step 3: Cross multiply
    1,019,574,473x = 1,574,401,313.50 × 1,574,401,313.50
  4. Step 4: Simplify right side
    1,019,574,473x = 2,478,739,495,950,525,440
  5. Step 5: Solve for x
    x = 2,478,739,495,950,525,440/1,019,574,473
  6. Step 6: Final answer
    x = 2,431,150,996.41

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.