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Finding the Third Proportional to 512,739 and 1,117,737

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Solution

The third proportional to 512,739 and 1,117,737 is: 2,436,592.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,739 : 1,117,737 = 1,117,737 : x
  2. Step 2: Convert to fraction form
    512,739/1,117,737 = 1,117,737/x
  3. Step 3: Cross multiply
    512,739x = 1,117,737 × 1,117,737
  4. Step 4: Simplify right side
    512,739x = 1,249,336,001,169
  5. Step 5: Solve for x
    x = 1,249,336,001,169/512,739
  6. Step 6: Final answer
    x = 2,436,592.50

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.