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Finding the Third Proportional to 749,202 and 1,148,805

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Solution

The third proportional to 749,202 and 1,148,805 is: 1,761,544.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    749,202 : 1,148,805 = 1,148,805 : x
  2. Step 2: Convert to fraction form
    749,202/1,148,805 = 1,148,805/x
  3. Step 3: Cross multiply
    749,202x = 1,148,805 × 1,148,805
  4. Step 4: Simplify right side
    749,202x = 1,319,752,928,025
  5. Step 5: Solve for x
    x = 1,319,752,928,025/749,202
  6. Step 6: Final answer
    x = 1,761,544.85

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.