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Finding the Third Proportional to 980,001 and 1,475,703

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Solution

The third proportional to 980,001 and 1,475,703 is: 2,222,139.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    980,001 : 1,475,703 = 1,475,703 : x
  2. Step 2: Convert to fraction form
    980,001/1,475,703 = 1,475,703/x
  3. Step 3: Cross multiply
    980,001x = 1,475,703 × 1,475,703
  4. Step 4: Simplify right side
    980,001x = 2,177,699,344,209
  5. Step 5: Solve for x
    x = 2,177,699,344,209/980,001
  6. Step 6: Final answer
    x = 2,222,139.92

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.