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Finding the Third Proportional to 3,138,624 and 4,830,720

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Solution

The third proportional to 3,138,624 and 4,830,720 is: 7,435,059.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,138,624 : 4,830,720 = 4,830,720 : x
  2. Step 2: Convert to fraction form
    3,138,624/4,830,720 = 4,830,720/x
  3. Step 3: Cross multiply
    3,138,624x = 4,830,720 × 4,830,720
  4. Step 4: Simplify right side
    3,138,624x = 23,335,855,718,400
  5. Step 5: Solve for x
    x = 23,335,855,718,400/3,138,624
  6. Step 6: Final answer
    x = 7,435,059.35

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.