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Finding the Third Proportional to 1,277,457 and 2,781,714

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Solution

The third proportional to 1,277,457 and 2,781,714 is: 6,057,294.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,277,457 : 2,781,714 = 2,781,714 : x
  2. Step 2: Convert to fraction form
    1,277,457/2,781,714 = 2,781,714/x
  3. Step 3: Cross multiply
    1,277,457x = 2,781,714 × 2,781,714
  4. Step 4: Simplify right side
    1,277,457x = 7,737,932,777,796
  5. Step 5: Solve for x
    x = 7,737,932,777,796/1,277,457
  6. Step 6: Final answer
    x = 6,057,294.12

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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.