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Finding the Third Proportional to 714,591 and 1,532,790

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Solution

The third proportional to 714,591 and 1,532,790 is: 3,287,818.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,591 : 1,532,790 = 1,532,790 : x
  2. Step 2: Convert to fraction form
    714,591/1,532,790 = 1,532,790/x
  3. Step 3: Cross multiply
    714,591x = 1,532,790 × 1,532,790
  4. Step 4: Simplify right side
    714,591x = 2,349,445,184,100
  5. Step 5: Solve for x
    x = 2,349,445,184,100/714,591
  6. Step 6: Final answer
    x = 3,287,818.04

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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.