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Finding the Third Proportional to 574,720 and 1,256,448

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Solution

The third proportional to 574,720 and 1,256,448 is: 2,746,835.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    574,720 : 1,256,448 = 1,256,448 : x
  2. Step 2: Convert to fraction form
    574,720/1,256,448 = 1,256,448/x
  3. Step 3: Cross multiply
    574,720x = 1,256,448 × 1,256,448
  4. Step 4: Simplify right side
    574,720x = 1,578,661,576,704
  5. Step 5: Solve for x
    x = 1,578,661,576,704/574,720
  6. Step 6: Final answer
    x = 2,746,835.98

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.