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Finding the Third Proportional to 714,467 and 1,527,188

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Solution

The third proportional to 714,467 and 1,527,188 is: 3,264,395.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,467 : 1,527,188 = 1,527,188 : x
  2. Step 2: Convert to fraction form
    714,467/1,527,188 = 1,527,188/x
  3. Step 3: Cross multiply
    714,467x = 1,527,188 × 1,527,188
  4. Step 4: Simplify right side
    714,467x = 2,332,303,187,344
  5. Step 5: Solve for x
    x = 2,332,303,187,344/714,467
  6. Step 6: Final answer
    x = 3,264,395.96

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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.