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Finding the Third Proportional to 714,454.25 and 1,527,166

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Solution

The third proportional to 714,454.25 and 1,527,166 is: 3,264,360.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,454.25 : 1,527,166 = 1,527,166 : x
  2. Step 2: Convert to fraction form
    714,454.25/1,527,166 = 1,527,166/x
  3. Step 3: Cross multiply
    714,454.25x = 1,527,166 × 1,527,166
  4. Step 4: Simplify right side
    714,454.25x = 2,332,235,991,556
  5. Step 5: Solve for x
    x = 2,332,235,991,556/714,454.25
  6. Step 6: Final answer
    x = 3,264,360.16

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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.