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Finding the Third Proportional to 961,404 and 1,508,102

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Solution

The third proportional to 961,404 and 1,508,102 is: 2,365,677.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    961,404 : 1,508,102 = 1,508,102 : x
  2. Step 2: Convert to fraction form
    961,404/1,508,102 = 1,508,102/x
  3. Step 3: Cross multiply
    961,404x = 1,508,102 × 1,508,102
  4. Step 4: Simplify right side
    961,404x = 2,274,371,642,404
  5. Step 5: Solve for x
    x = 2,274,371,642,404/961,404
  6. Step 6: Final answer
    x = 2,365,677.32

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.