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Finding the Third Proportional to 659,246 and 1,411,802

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Solution

The third proportional to 659,246 and 1,411,802 is: 3,023,431.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,246 : 1,411,802 = 1,411,802 : x
  2. Step 2: Convert to fraction form
    659,246/1,411,802 = 1,411,802/x
  3. Step 3: Cross multiply
    659,246x = 1,411,802 × 1,411,802
  4. Step 4: Simplify right side
    659,246x = 1,993,184,887,204
  5. Step 5: Solve for x
    x = 1,993,184,887,204/659,246
  6. Step 6: Final answer
    x = 3,023,431.14

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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.