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Finding the Third Proportional to 659,250 and 1,411,810

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Solution

The third proportional to 659,250 and 1,411,810 is: 3,023,447.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,250 : 1,411,810 = 1,411,810 : x
  2. Step 2: Convert to fraction form
    659,250/1,411,810 = 1,411,810/x
  3. Step 3: Cross multiply
    659,250x = 1,411,810 × 1,411,810
  4. Step 4: Simplify right side
    659,250x = 1,993,207,476,100
  5. Step 5: Solve for x
    x = 1,993,207,476,100/659,250
  6. Step 6: Final answer
    x = 3,023,447.06

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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.