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Finding the Third Proportional to 1,893,378.38 and 4,107,763.13

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Solution

The third proportional to 1,893,378.38 and 4,107,763.13 is: 8,911,962.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,893,378.38 : 4,107,763.13 = 4,107,763.13 : x
  2. Step 2: Convert to fraction form
    1,893,378.38/4,107,763.13 = 4,107,763.13/x
  3. Step 3: Cross multiply
    1,893,378.38x = 4,107,763.13 × 4,107,763.13
  4. Step 4: Simplify right side
    1,893,378.38x = 16,873,717,891,109.77
  5. Step 5: Solve for x
    x = 16,873,717,891,109.77/1,893,378.38
  6. Step 6: Final answer
    x = 8,911,962.93

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.