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Finding the Third Proportional to 961,399 and 1,508,095.50

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Solution

The third proportional to 961,399 and 1,508,095.50 is: 2,365,669.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    961,399 : 1,508,095.50 = 1,508,095.50 : x
  2. Step 2: Convert to fraction form
    961,399/1,508,095.50 = 1,508,095.50/x
  3. Step 3: Cross multiply
    961,399x = 1,508,095.50 × 1,508,095.50
  4. Step 4: Simplify right side
    961,399x = 2,274,352,037,120.25
  5. Step 5: Solve for x
    x = 2,274,352,037,120.25/961,399
  6. Step 6: Final answer
    x = 2,365,669.24

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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.