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Finding the Third Proportional to 727,666 and 1,569,055

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Solution

The third proportional to 727,666 and 1,569,055 is: 3,383,329.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    727,666 : 1,569,055 = 1,569,055 : x
  2. Step 2: Convert to fraction form
    727,666/1,569,055 = 1,569,055/x
  3. Step 3: Cross multiply
    727,666x = 1,569,055 × 1,569,055
  4. Step 4: Simplify right side
    727,666x = 2,461,933,593,025
  5. Step 5: Solve for x
    x = 2,461,933,593,025/727,666
  6. Step 6: Final answer
    x = 3,383,329.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.