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Finding the Third Proportional to 1,840,421.25 and 3,772,423.13

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Solution

The third proportional to 1,840,421.25 and 3,772,423.13 is: 7,732,564.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,840,421.25 : 3,772,423.13 = 3,772,423.13 : x
  2. Step 2: Convert to fraction form
    1,840,421.25/3,772,423.13 = 3,772,423.13/x
  3. Step 3: Cross multiply
    1,840,421.25x = 3,772,423.13 × 3,772,423.13
  4. Step 4: Simplify right side
    1,840,421.25x = 14,231,176,234,034.77
  5. Step 5: Solve for x
    x = 14,231,176,234,034.77/1,840,421.25
  6. Step 6: Final answer
    x = 7,732,564.61

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.