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Finding the Third Proportional to 1,746,201 and 3,747,552

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Solution

The third proportional to 1,746,201 and 3,747,552 is: 8,042,685.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,746,201 : 3,747,552 = 3,747,552 : x
  2. Step 2: Convert to fraction form
    1,746,201/3,747,552 = 3,747,552/x
  3. Step 3: Cross multiply
    1,746,201x = 3,747,552 × 3,747,552
  4. Step 4: Simplify right side
    1,746,201x = 14,044,145,992,704
  5. Step 5: Solve for x
    x = 14,044,145,992,704/1,746,201
  6. Step 6: Final answer
    x = 8,042,685.80

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.