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Finding the Third Proportional to 813,916 and 1,197,343

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Solution

The third proportional to 813,916 and 1,197,343 is: 1,761,398.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    813,916 : 1,197,343 = 1,197,343 : x
  2. Step 2: Convert to fraction form
    813,916/1,197,343 = 1,197,343/x
  3. Step 3: Cross multiply
    813,916x = 1,197,343 × 1,197,343
  4. Step 4: Simplify right side
    813,916x = 1,433,630,259,649
  5. Step 5: Solve for x
    x = 1,433,630,259,649/813,916
  6. Step 6: Final answer
    x = 1,761,398.30

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.