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Finding the Third Proportional to 642,789 and 1,411,671

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Solution

The third proportional to 642,789 and 1,411,671 is: 3,100,263.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,789 : 1,411,671 = 1,411,671 : x
  2. Step 2: Convert to fraction form
    642,789/1,411,671 = 1,411,671/x
  3. Step 3: Cross multiply
    642,789x = 1,411,671 × 1,411,671
  4. Step 4: Simplify right side
    642,789x = 1,992,815,012,241
  5. Step 5: Solve for x
    x = 1,992,815,012,241/642,789
  6. Step 6: Final answer
    x = 3,100,263.09

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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.