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Finding the Third Proportional to 1,061,460 and 1,588,302

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Solution

The third proportional to 1,061,460 and 1,588,302 is: 2,376,635.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,061,460 : 1,588,302 = 1,588,302 : x
  2. Step 2: Convert to fraction form
    1,061,460/1,588,302 = 1,588,302/x
  3. Step 3: Cross multiply
    1,061,460x = 1,588,302 × 1,588,302
  4. Step 4: Simplify right side
    1,061,460x = 2,522,703,243,204
  5. Step 5: Solve for x
    x = 2,522,703,243,204/1,061,460
  6. Step 6: Final answer
    x = 2,376,635.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.