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Finding the Third Proportional to 997,426 and 1,542,901

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Solution

The third proportional to 997,426 and 1,542,901 is: 2,386,686.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    997,426 : 1,542,901 = 1,542,901 : x
  2. Step 2: Convert to fraction form
    997,426/1,542,901 = 1,542,901/x
  3. Step 3: Cross multiply
    997,426x = 1,542,901 × 1,542,901
  4. Step 4: Simplify right side
    997,426x = 2,380,543,495,801
  5. Step 5: Solve for x
    x = 2,380,543,495,801/997,426
  6. Step 6: Final answer
    x = 2,386,686.83

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.