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Finding the Third Proportional to 1,423,134 and 3,049,659

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Solution

The third proportional to 1,423,134 and 3,049,659 is: 6,535,168.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,423,134 : 3,049,659 = 3,049,659 : x
  2. Step 2: Convert to fraction form
    1,423,134/3,049,659 = 3,049,659/x
  3. Step 3: Cross multiply
    1,423,134x = 3,049,659 × 3,049,659
  4. Step 4: Simplify right side
    1,423,134x = 9,300,420,016,281
  5. Step 5: Solve for x
    x = 9,300,420,016,281/1,423,134
  6. Step 6: Final answer
    x = 6,535,168.17

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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.