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Finding the Third Proportional to 584,924 and 1,256,896

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Solution

The third proportional to 584,924 and 1,256,896 is: 2,700,842.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,924 : 1,256,896 = 1,256,896 : x
  2. Step 2: Convert to fraction form
    584,924/1,256,896 = 1,256,896/x
  3. Step 3: Cross multiply
    584,924x = 1,256,896 × 1,256,896
  4. Step 4: Simplify right side
    584,924x = 1,579,787,554,816
  5. Step 5: Solve for x
    x = 1,579,787,554,816/584,924
  6. Step 6: Final answer
    x = 2,700,842.43

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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.