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Finding the Third Proportional to 811,199 and 1,272,470

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Solution

The third proportional to 811,199 and 1,272,470 is: 1,996,032.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    811,199 : 1,272,470 = 1,272,470 : x
  2. Step 2: Convert to fraction form
    811,199/1,272,470 = 1,272,470/x
  3. Step 3: Cross multiply
    811,199x = 1,272,470 × 1,272,470
  4. Step 4: Simplify right side
    811,199x = 1,619,179,900,900
  5. Step 5: Solve for x
    x = 1,619,179,900,900/811,199
  6. Step 6: Final answer
    x = 1,996,032.91

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.