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Finding the Third Proportional to 1,586,460 and 2,416,866

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Solution

The third proportional to 1,586,460 and 2,416,866 is: 3,681,934.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,586,460 : 2,416,866 = 2,416,866 : x
  2. Step 2: Convert to fraction form
    1,586,460/2,416,866 = 2,416,866/x
  3. Step 3: Cross multiply
    1,586,460x = 2,416,866 × 2,416,866
  4. Step 4: Simplify right side
    1,586,460x = 5,841,241,261,956
  5. Step 5: Solve for x
    x = 5,841,241,261,956/1,586,460
  6. Step 6: Final answer
    x = 3,681,934.16

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.