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Finding the Third Proportional to 686,616 and 1,005,344

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Solution

The third proportional to 686,616 and 1,005,344 is: 1,472,025.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,616 : 1,005,344 = 1,005,344 : x
  2. Step 2: Convert to fraction form
    686,616/1,005,344 = 1,005,344/x
  3. Step 3: Cross multiply
    686,616x = 1,005,344 × 1,005,344
  4. Step 4: Simplify right side
    686,616x = 1,010,716,558,336
  5. Step 5: Solve for x
    x = 1,010,716,558,336/686,616
  6. Step 6: Final answer
    x = 1,472,025.93

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.