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Finding the Third Proportional to 388,854 and 900,780

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Solution

The third proportional to 388,854 and 900,780 is: 2,086,656.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,854 : 900,780 = 900,780 : x
  2. Step 2: Convert to fraction form
    388,854/900,780 = 900,780/x
  3. Step 3: Cross multiply
    388,854x = 900,780 × 900,780
  4. Step 4: Simplify right side
    388,854x = 811,404,608,400
  5. Step 5: Solve for x
    x = 811,404,608,400/388,854
  6. Step 6: Final answer
    x = 2,086,656.20

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.