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Finding the Third Proportional to 711,533 and 1,555,798

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Solution

The third proportional to 711,533 and 1,555,798 is: 3,401,820.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    711,533 : 1,555,798 = 1,555,798 : x
  2. Step 2: Convert to fraction form
    711,533/1,555,798 = 1,555,798/x
  3. Step 3: Cross multiply
    711,533x = 1,555,798 × 1,555,798
  4. Step 4: Simplify right side
    711,533x = 2,420,507,416,804
  5. Step 5: Solve for x
    x = 2,420,507,416,804/711,533
  6. Step 6: Final answer
    x = 3,401,820.32

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.