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Finding the Third Proportional to 584,927 and 1,256,902

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Solution

The third proportional to 584,927 and 1,256,902 is: 2,700,854.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,927 : 1,256,902 = 1,256,902 : x
  2. Step 2: Convert to fraction form
    584,927/1,256,902 = 1,256,902/x
  3. Step 3: Cross multiply
    584,927x = 1,256,902 × 1,256,902
  4. Step 4: Simplify right side
    584,927x = 1,579,802,637,604
  5. Step 5: Solve for x
    x = 1,579,802,637,604/584,927
  6. Step 6: Final answer
    x = 2,700,854.36

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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.