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Finding the Third Proportional to 579,776 and 1,256,048

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Solution

The third proportional to 579,776 and 1,256,048 is: 2,721,148.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    579,776 : 1,256,048 = 1,256,048 : x
  2. Step 2: Convert to fraction form
    579,776/1,256,048 = 1,256,048/x
  3. Step 3: Cross multiply
    579,776x = 1,256,048 × 1,256,048
  4. Step 4: Simplify right side
    579,776x = 1,577,656,578,304
  5. Step 5: Solve for x
    x = 1,577,656,578,304/579,776
  6. Step 6: Final answer
    x = 2,721,148.48

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.