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Finding the Third Proportional to 2,281,740 and 4,887,402

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Solution

The third proportional to 2,281,740 and 4,887,402 is: 10,468,632.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,281,740 : 4,887,402 = 4,887,402 : x
  2. Step 2: Convert to fraction form
    2,281,740/4,887,402 = 4,887,402/x
  3. Step 3: Cross multiply
    2,281,740x = 4,887,402 × 4,887,402
  4. Step 4: Simplify right side
    2,281,740x = 23,886,698,309,604
  5. Step 5: Solve for x
    x = 23,886,698,309,604/2,281,740
  6. Step 6: Final answer
    x = 10,468,632.85

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.