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Finding the Third Proportional to 1,019,574,726.75 and 1,574,401,839

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Solution

The third proportional to 1,019,574,726.75 and 1,574,401,839 is: 2,431,152,014.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019,574,726.75 : 1,574,401,839 = 1,574,401,839 : x
  2. Step 2: Convert to fraction form
    1,019,574,726.75/1,574,401,839 = 1,574,401,839/x
  3. Step 3: Cross multiply
    1,019,574,726.75x = 1,574,401,839 × 1,574,401,839
  4. Step 4: Simplify right side
    1,019,574,726.75x = 2,478,741,150,646,581,760
  5. Step 5: Solve for x
    x = 2,478,741,150,646,581,760/1,019,574,726.75
  6. Step 6: Final answer
    x = 2,431,152,014.28

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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.