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Finding the Third Proportional to 2,187,648 and 3,358,080

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Solution

The third proportional to 2,187,648 and 3,358,080 is: 5,154,714.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,187,648 : 3,358,080 = 3,358,080 : x
  2. Step 2: Convert to fraction form
    2,187,648/3,358,080 = 3,358,080/x
  3. Step 3: Cross multiply
    2,187,648x = 3,358,080 × 3,358,080
  4. Step 4: Simplify right side
    2,187,648x = 11,276,701,286,400
  5. Step 5: Solve for x
    x = 11,276,701,286,400/2,187,648
  6. Step 6: Final answer
    x = 5,154,714.69

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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.