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Finding the Third Proportional to 733,972 and 1,087,350

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Solution

The third proportional to 733,972 and 1,087,350 is: 1,610,865.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    733,972 : 1,087,350 = 1,087,350 : x
  2. Step 2: Convert to fraction form
    733,972/1,087,350 = 1,087,350/x
  3. Step 3: Cross multiply
    733,972x = 1,087,350 × 1,087,350
  4. Step 4: Simplify right side
    733,972x = 1,182,330,022,500
  5. Step 5: Solve for x
    x = 1,182,330,022,500/733,972
  6. Step 6: Final answer
    x = 1,610,865.30

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.