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Finding the Third Proportional to 714,453.75 and 1,527,165

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Solution

The third proportional to 714,453.75 and 1,527,165 is: 3,264,358.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,453.75 : 1,527,165 = 1,527,165 : x
  2. Step 2: Convert to fraction form
    714,453.75/1,527,165 = 1,527,165/x
  3. Step 3: Cross multiply
    714,453.75x = 1,527,165 × 1,527,165
  4. Step 4: Simplify right side
    714,453.75x = 2,332,232,937,225
  5. Step 5: Solve for x
    x = 2,332,232,937,225/714,453.75
  6. Step 6: Final answer
    x = 3,264,358.17

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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.