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Finding the Third Proportional to 1,464,672 and 2,217,663

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Solution

The third proportional to 1,464,672 and 2,217,663 is: 3,357,768.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,464,672 : 2,217,663 = 2,217,663 : x
  2. Step 2: Convert to fraction form
    1,464,672/2,217,663 = 2,217,663/x
  3. Step 3: Cross multiply
    1,464,672x = 2,217,663 × 2,217,663
  4. Step 4: Simplify right side
    1,464,672x = 4,918,029,181,569
  5. Step 5: Solve for x
    x = 4,918,029,181,569/1,464,672
  6. Step 6: Final answer
    x = 3,357,768.28

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.