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Finding the Third Proportional to 2,330,186 and 3,148,231

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Solution

The third proportional to 2,330,186 and 3,148,231 is: 4,253,462.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,330,186 : 3,148,231 = 3,148,231 : x
  2. Step 2: Convert to fraction form
    2,330,186/3,148,231 = 3,148,231/x
  3. Step 3: Cross multiply
    2,330,186x = 3,148,231 × 3,148,231
  4. Step 4: Simplify right side
    2,330,186x = 9,911,358,429,361
  5. Step 5: Solve for x
    x = 9,911,358,429,361/2,330,186
  6. Step 6: Final answer
    x = 4,253,462.35

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.