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Finding the Third Proportional to 642,653 and 1,411,394

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Solution

The third proportional to 642,653 and 1,411,394 is: 3,099,702.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,653 : 1,411,394 = 1,411,394 : x
  2. Step 2: Convert to fraction form
    642,653/1,411,394 = 1,411,394/x
  3. Step 3: Cross multiply
    642,653x = 1,411,394 × 1,411,394
  4. Step 4: Simplify right side
    642,653x = 1,992,033,023,236
  5. Step 5: Solve for x
    x = 1,992,033,023,236/642,653
  6. Step 6: Final answer
    x = 3,099,702.36

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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.