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Finding the Third Proportional to 636,963 and 977,559

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Solution

The third proportional to 636,963 and 977,559 is: 1,500,278.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    636,963 : 977,559 = 977,559 : x
  2. Step 2: Convert to fraction form
    636,963/977,559 = 977,559/x
  3. Step 3: Cross multiply
    636,963x = 977,559 × 977,559
  4. Step 4: Simplify right side
    636,963x = 955,621,598,481
  5. Step 5: Solve for x
    x = 955,621,598,481/636,963
  6. Step 6: Final answer
    x = 1,500,278.04

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.