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Finding the Third Proportional to 2,275,416 and 4,888,510

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Solution

The third proportional to 2,275,416 and 4,888,510 is: 10,502,488.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,275,416 : 4,888,510 = 4,888,510 : x
  2. Step 2: Convert to fraction form
    2,275,416/4,888,510 = 4,888,510/x
  3. Step 3: Cross multiply
    2,275,416x = 4,888,510 × 4,888,510
  4. Step 4: Simplify right side
    2,275,416x = 23,897,530,020,100
  5. Step 5: Solve for x
    x = 23,897,530,020,100/2,275,416
  6. Step 6: Final answer
    x = 10,502,488.35

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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.