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Finding the Third Proportional to 584,448 and 1,256,280

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Solution

The third proportional to 584,448 and 1,256,280 is: 2,700,393.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,448 : 1,256,280 = 1,256,280 : x
  2. Step 2: Convert to fraction form
    584,448/1,256,280 = 1,256,280/x
  3. Step 3: Cross multiply
    584,448x = 1,256,280 × 1,256,280
  4. Step 4: Simplify right side
    584,448x = 1,578,239,438,400
  5. Step 5: Solve for x
    x = 1,578,239,438,400/584,448
  6. Step 6: Final answer
    x = 2,700,393.26

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.