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Finding the Third Proportional to 797,943 and 1,220,775

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Solution

The third proportional to 797,943 and 1,220,775 is: 1,867,666.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    797,943 : 1,220,775 = 1,220,775 : x
  2. Step 2: Convert to fraction form
    797,943/1,220,775 = 1,220,775/x
  3. Step 3: Cross multiply
    797,943x = 1,220,775 × 1,220,775
  4. Step 4: Simplify right side
    797,943x = 1,490,291,600,625
  5. Step 5: Solve for x
    x = 1,490,291,600,625/797,943
  6. Step 6: Final answer
    x = 1,867,666.74

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.