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Finding the Third Proportional to 2,934,970 and 6,358,452

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Solution

The third proportional to 2,934,970 and 6,358,452 is: 13,775,238.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,934,970 : 6,358,452 = 6,358,452 : x
  2. Step 2: Convert to fraction form
    2,934,970/6,358,452 = 6,358,452/x
  3. Step 3: Cross multiply
    2,934,970x = 6,358,452 × 6,358,452
  4. Step 4: Simplify right side
    2,934,970x = 40,429,911,836,304
  5. Step 5: Solve for x
    x = 40,429,911,836,304/2,934,970
  6. Step 6: Final answer
    x = 13,775,238.53

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.