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Finding the Third Proportional to 642,649 and 1,411,386

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Solution

The third proportional to 642,649 and 1,411,386 is: 3,099,686.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,649 : 1,411,386 = 1,411,386 : x
  2. Step 2: Convert to fraction form
    642,649/1,411,386 = 1,411,386/x
  3. Step 3: Cross multiply
    642,649x = 1,411,386 × 1,411,386
  4. Step 4: Simplify right side
    642,649x = 1,992,010,440,996
  5. Step 5: Solve for x
    x = 1,992,010,440,996/642,649
  6. Step 6: Final answer
    x = 3,099,686.52

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.