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Finding the Third Proportional to 739,486 and 1,169,932

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Solution

The third proportional to 739,486 and 1,169,932 is: 1,850,935.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    739,486 : 1,169,932 = 1,169,932 : x
  2. Step 2: Convert to fraction form
    739,486/1,169,932 = 1,169,932/x
  3. Step 3: Cross multiply
    739,486x = 1,169,932 × 1,169,932
  4. Step 4: Simplify right side
    739,486x = 1,368,740,884,624
  5. Step 5: Solve for x
    x = 1,368,740,884,624/739,486
  6. Step 6: Final answer
    x = 1,850,935.49

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.