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Finding the Third Proportional to 714,458 and 1,527,173

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Solution

The third proportional to 714,458 and 1,527,173 is: 3,264,372.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,458 : 1,527,173 = 1,527,173 : x
  2. Step 2: Convert to fraction form
    714,458/1,527,173 = 1,527,173/x
  3. Step 3: Cross multiply
    714,458x = 1,527,173 × 1,527,173
  4. Step 4: Simplify right side
    714,458x = 2,332,257,371,929
  5. Step 5: Solve for x
    x = 2,332,257,371,929/714,458
  6. Step 6: Final answer
    x = 3,264,372.95

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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.