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Finding the Third Proportional to 1,801,632 and 3,914,784

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Solution

The third proportional to 1,801,632 and 3,914,784 is: 8,506,472.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,801,632 : 3,914,784 = 3,914,784 : x
  2. Step 2: Convert to fraction form
    1,801,632/3,914,784 = 3,914,784/x
  3. Step 3: Cross multiply
    1,801,632x = 3,914,784 × 3,914,784
  4. Step 4: Simplify right side
    1,801,632x = 15,325,533,766,656
  5. Step 5: Solve for x
    x = 15,325,533,766,656/1,801,632
  6. Step 6: Final answer
    x = 8,506,472.89

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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.