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Finding the Third Proportional to 1,687,866 and 2,411,916

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Solution

The third proportional to 1,687,866 and 2,411,916 is: 3,446,564.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,687,866 : 2,411,916 = 2,411,916 : x
  2. Step 2: Convert to fraction form
    1,687,866/2,411,916 = 2,411,916/x
  3. Step 3: Cross multiply
    1,687,866x = 2,411,916 × 2,411,916
  4. Step 4: Simplify right side
    1,687,866x = 5,817,338,791,056
  5. Step 5: Solve for x
    x = 5,817,338,791,056/1,687,866
  6. Step 6: Final answer
    x = 3,446,564.35

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.