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Finding the Third Proportional to 1,948,746 and 4,251,624

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Solution

The third proportional to 1,948,746 and 4,251,624 is: 9,275,865.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,948,746 : 4,251,624 = 4,251,624 : x
  2. Step 2: Convert to fraction form
    1,948,746/4,251,624 = 4,251,624/x
  3. Step 3: Cross multiply
    1,948,746x = 4,251,624 × 4,251,624
  4. Step 4: Simplify right side
    1,948,746x = 18,076,306,637,376
  5. Step 5: Solve for x
    x = 18,076,306,637,376/1,948,746
  6. Step 6: Final answer
    x = 9,275,865.94

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.