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Finding the Third Proportional to 2,148,966 and 4,711,275

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Solution

The third proportional to 2,148,966 and 4,711,275 is: 10,328,740.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,148,966 : 4,711,275 = 4,711,275 : x
  2. Step 2: Convert to fraction form
    2,148,966/4,711,275 = 4,711,275/x
  3. Step 3: Cross multiply
    2,148,966x = 4,711,275 × 4,711,275
  4. Step 4: Simplify right side
    2,148,966x = 22,196,112,125,625
  5. Step 5: Solve for x
    x = 22,196,112,125,625/2,148,966
  6. Step 6: Final answer
    x = 10,328,740.49

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.