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Finding the Third Proportional to 720,714 and 1,130,571

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Solution

The third proportional to 720,714 and 1,130,571 is: 1,773,506.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    720,714 : 1,130,571 = 1,130,571 : x
  2. Step 2: Convert to fraction form
    720,714/1,130,571 = 1,130,571/x
  3. Step 3: Cross multiply
    720,714x = 1,130,571 × 1,130,571
  4. Step 4: Simplify right side
    720,714x = 1,278,190,786,041
  5. Step 5: Solve for x
    x = 1,278,190,786,041/720,714
  6. Step 6: Final answer
    x = 1,773,506.25

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.