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Finding the Third Proportional to 709,366.50 and 1,510,749

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Solution

The third proportional to 709,366.50 and 1,510,749 is: 3,217,465.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,366.50 : 1,510,749 = 1,510,749 : x
  2. Step 2: Convert to fraction form
    709,366.50/1,510,749 = 1,510,749/x
  3. Step 3: Cross multiply
    709,366.50x = 1,510,749 × 1,510,749
  4. Step 4: Simplify right side
    709,366.50x = 2,282,362,541,001
  5. Step 5: Solve for x
    x = 2,282,362,541,001/709,366.50
  6. Step 6: Final answer
    x = 3,217,465.92

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.