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Finding the Third Proportional to 562,986 and 829,593

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Solution

The third proportional to 562,986 and 829,593 is: 1,222,454.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,986 : 829,593 = 829,593 : x
  2. Step 2: Convert to fraction form
    562,986/829,593 = 829,593/x
  3. Step 3: Cross multiply
    562,986x = 829,593 × 829,593
  4. Step 4: Simplify right side
    562,986x = 688,224,545,649
  5. Step 5: Solve for x
    x = 688,224,545,649/562,986
  6. Step 6: Final answer
    x = 1,222,454.10

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.