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Finding the Third Proportional to 658,456 and 1,442,737

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Solution

The third proportional to 658,456 and 1,442,737 is: 3,161,168.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,456 : 1,442,737 = 1,442,737 : x
  2. Step 2: Convert to fraction form
    658,456/1,442,737 = 1,442,737/x
  3. Step 3: Cross multiply
    658,456x = 1,442,737 × 1,442,737
  4. Step 4: Simplify right side
    658,456x = 2,081,490,051,169
  5. Step 5: Solve for x
    x = 2,081,490,051,169/658,456
  6. Step 6: Final answer
    x = 3,161,168.02

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.