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Finding the Third Proportional to 648,350 and 1,041,725

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Solution

The third proportional to 648,350 and 1,041,725 is: 1,673,773.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,350 : 1,041,725 = 1,041,725 : x
  2. Step 2: Convert to fraction form
    648,350/1,041,725 = 1,041,725/x
  3. Step 3: Cross multiply
    648,350x = 1,041,725 × 1,041,725
  4. Step 4: Simplify right side
    648,350x = 1,085,190,975,625
  5. Step 5: Solve for x
    x = 1,085,190,975,625/648,350
  6. Step 6: Final answer
    x = 1,673,773.39

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.