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Finding the Third Proportional to 2,005,730 and 4,177,348

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Solution

The third proportional to 2,005,730 and 4,177,348 is: 8,700,192.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,005,730 : 4,177,348 = 4,177,348 : x
  2. Step 2: Convert to fraction form
    2,005,730/4,177,348 = 4,177,348/x
  3. Step 3: Cross multiply
    2,005,730x = 4,177,348 × 4,177,348
  4. Step 4: Simplify right side
    2,005,730x = 17,450,236,313,104
  5. Step 5: Solve for x
    x = 17,450,236,313,104/2,005,730
  6. Step 6: Final answer
    x = 8,700,192.11

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.