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Finding the Third Proportional to 584,944 and 1,269,882

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Solution

The third proportional to 584,944 and 1,269,882 is: 2,756,845.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,944 : 1,269,882 = 1,269,882 : x
  2. Step 2: Convert to fraction form
    584,944/1,269,882 = 1,269,882/x
  3. Step 3: Cross multiply
    584,944x = 1,269,882 × 1,269,882
  4. Step 4: Simplify right side
    584,944x = 1,612,600,293,924
  5. Step 5: Solve for x
    x = 1,612,600,293,924/584,944
  6. Step 6: Final answer
    x = 2,756,845.60

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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.