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Finding the Third Proportional to 571,486 and 783,664

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Solution

The third proportional to 571,486 and 783,664 is: 1,074,618.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,486 : 783,664 = 783,664 : x
  2. Step 2: Convert to fraction form
    571,486/783,664 = 783,664/x
  3. Step 3: Cross multiply
    571,486x = 783,664 × 783,664
  4. Step 4: Simplify right side
    571,486x = 614,129,264,896
  5. Step 5: Solve for x
    x = 614,129,264,896/571,486
  6. Step 6: Final answer
    x = 1,074,618.21

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.