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Finding the Third Proportional to 987,764 and 1,475,142

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Solution

The third proportional to 987,764 and 1,475,142 is: 2,202,999.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    987,764 : 1,475,142 = 1,475,142 : x
  2. Step 2: Convert to fraction form
    987,764/1,475,142 = 1,475,142/x
  3. Step 3: Cross multiply
    987,764x = 1,475,142 × 1,475,142
  4. Step 4: Simplify right side
    987,764x = 2,176,043,920,164
  5. Step 5: Solve for x
    x = 2,176,043,920,164/987,764
  6. Step 6: Final answer
    x = 2,202,999.83

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.