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Finding the Third Proportional to 2,281,703 and 3,415,446

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Solution

The third proportional to 2,281,703 and 3,415,446 is: 5,112,528.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,281,703 : 3,415,446 = 3,415,446 : x
  2. Step 2: Convert to fraction form
    2,281,703/3,415,446 = 3,415,446/x
  3. Step 3: Cross multiply
    2,281,703x = 3,415,446 × 3,415,446
  4. Step 4: Simplify right side
    2,281,703x = 11,665,271,378,916
  5. Step 5: Solve for x
    x = 11,665,271,378,916/2,281,703
  6. Step 6: Final answer
    x = 5,112,528.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.