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Finding the Third Proportional to 714,458 and 1,527,174

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Solution

The third proportional to 714,458 and 1,527,174 is: 3,264,377.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,458 : 1,527,174 = 1,527,174 : x
  2. Step 2: Convert to fraction form
    714,458/1,527,174 = 1,527,174/x
  3. Step 3: Cross multiply
    714,458x = 1,527,174 × 1,527,174
  4. Step 4: Simplify right side
    714,458x = 2,332,260,426,276
  5. Step 5: Solve for x
    x = 2,332,260,426,276/714,458
  6. Step 6: Final answer
    x = 3,264,377.23

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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.