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Finding the Third Proportional to 513,127 and 1,092,684

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Solution

The third proportional to 513,127 and 1,092,684 is: 2,326,828.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,127 : 1,092,684 = 1,092,684 : x
  2. Step 2: Convert to fraction form
    513,127/1,092,684 = 1,092,684/x
  3. Step 3: Cross multiply
    513,127x = 1,092,684 × 1,092,684
  4. Step 4: Simplify right side
    513,127x = 1,193,958,323,856
  5. Step 5: Solve for x
    x = 1,193,958,323,856/513,127
  6. Step 6: Final answer
    x = 2,326,828.10

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.