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Finding the Third Proportional to 661,462.88 and 1,402,408.69

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Solution

The third proportional to 661,462.88 and 1,402,408.69 is: 2,973,334.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    661,462.88 : 1,402,408.69 = 1,402,408.69 : x
  2. Step 2: Convert to fraction form
    661,462.88/1,402,408.69 = 1,402,408.69/x
  3. Step 3: Cross multiply
    661,462.88x = 1,402,408.69 × 1,402,408.69
  4. Step 4: Simplify right side
    661,462.88x = 1,966,750,126,775.47
  5. Step 5: Solve for x
    x = 1,966,750,126,775.47/661,462.88
  6. Step 6: Final answer
    x = 2,973,334.11

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.