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Finding the Third Proportional to 1,407,414.38 and 2,329,488

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Solution

The third proportional to 1,407,414.38 and 2,329,488 is: 3,855,662.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407,414.38 : 2,329,488 = 2,329,488 : x
  2. Step 2: Convert to fraction form
    1,407,414.38/2,329,488 = 2,329,488/x
  3. Step 3: Cross multiply
    1,407,414.38x = 2,329,488 × 2,329,488
  4. Step 4: Simplify right side
    1,407,414.38x = 5,426,514,342,144
  5. Step 5: Solve for x
    x = 5,426,514,342,144/1,407,414.38
  6. Step 6: Final answer
    x = 3,855,662.16

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.