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Finding the Third Proportional to 423,562 and 930,069

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Solution

The third proportional to 423,562 and 930,069 is: 2,042,270.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,562 : 930,069 = 930,069 : x
  2. Step 2: Convert to fraction form
    423,562/930,069 = 930,069/x
  3. Step 3: Cross multiply
    423,562x = 930,069 × 930,069
  4. Step 4: Simplify right side
    423,562x = 865,028,344,761
  5. Step 5: Solve for x
    x = 865,028,344,761/423,562
  6. Step 6: Final answer
    x = 2,042,270.89

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.