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Finding the Third Proportional to 642,602 and 961,959

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Solution

The third proportional to 642,602 and 961,959 is: 1,440,028.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,602 : 961,959 = 961,959 : x
  2. Step 2: Convert to fraction form
    642,602/961,959 = 961,959/x
  3. Step 3: Cross multiply
    642,602x = 961,959 × 961,959
  4. Step 4: Simplify right side
    642,602x = 925,365,117,681
  5. Step 5: Solve for x
    x = 925,365,117,681/642,602
  6. Step 6: Final answer
    x = 1,440,028.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.