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Finding the Third Proportional to 714,462 and 1,527,186

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Solution

The third proportional to 714,462 and 1,527,186 is: 3,264,410.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,462 : 1,527,186 = 1,527,186 : x
  2. Step 2: Convert to fraction form
    714,462/1,527,186 = 1,527,186/x
  3. Step 3: Cross multiply
    714,462x = 1,527,186 × 1,527,186
  4. Step 4: Simplify right side
    714,462x = 2,332,297,078,596
  5. Step 5: Solve for x
    x = 2,332,297,078,596/714,462
  6. Step 6: Final answer
    x = 3,264,410.25

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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.