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Finding the Third Proportional to 1,246,242 and 2,711,184

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Solution

The third proportional to 1,246,242 and 2,711,184 is: 5,898,147.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,246,242 : 2,711,184 = 2,711,184 : x
  2. Step 2: Convert to fraction form
    1,246,242/2,711,184 = 2,711,184/x
  3. Step 3: Cross multiply
    1,246,242x = 2,711,184 × 2,711,184
  4. Step 4: Simplify right side
    1,246,242x = 7,350,518,681,856
  5. Step 5: Solve for x
    x = 7,350,518,681,856/1,246,242
  6. Step 6: Final answer
    x = 5,898,147.14

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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.