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Finding the Third Proportional to 1,277,460 and 2,781,720

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Solution

The third proportional to 1,277,460 and 2,781,720 is: 6,057,306.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,277,460 : 2,781,720 = 2,781,720 : x
  2. Step 2: Convert to fraction form
    1,277,460/2,781,720 = 2,781,720/x
  3. Step 3: Cross multiply
    1,277,460x = 2,781,720 × 2,781,720
  4. Step 4: Simplify right side
    1,277,460x = 7,737,966,158,400
  5. Step 5: Solve for x
    x = 7,737,966,158,400/1,277,460
  6. Step 6: Final answer
    x = 6,057,306.03

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.