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Finding the Third Proportional to 545,872 and 1,174,688

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Solution

The third proportional to 545,872 and 1,174,688 is: 2,527,867.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,872 : 1,174,688 = 1,174,688 : x
  2. Step 2: Convert to fraction form
    545,872/1,174,688 = 1,174,688/x
  3. Step 3: Cross multiply
    545,872x = 1,174,688 × 1,174,688
  4. Step 4: Simplify right side
    545,872x = 1,379,891,897,344
  5. Step 5: Solve for x
    x = 1,379,891,897,344/545,872
  6. Step 6: Final answer
    x = 2,527,867.15

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.