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Finding the Third Proportional to 604,432.13 and 1,270,920.38

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Solution

The third proportional to 604,432.13 and 1,270,920.38 is: 2,672,324.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    604,432.13 : 1,270,920.38 = 1,270,920.38 : x
  2. Step 2: Convert to fraction form
    604,432.13/1,270,920.38 = 1,270,920.38/x
  3. Step 3: Cross multiply
    604,432.13x = 1,270,920.38 × 1,270,920.38
  4. Step 4: Simplify right side
    604,432.13x = 1,615,238,599,590.14
  5. Step 5: Solve for x
    x = 1,615,238,599,590.14/604,432.13
  6. Step 6: Final answer
    x = 2,672,324.21

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.