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Finding the Third Proportional to 822,419 and 1,226,810

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Solution

The third proportional to 822,419 and 1,226,810 is: 1,830,043.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    822,419 : 1,226,810 = 1,226,810 : x
  2. Step 2: Convert to fraction form
    822,419/1,226,810 = 1,226,810/x
  3. Step 3: Cross multiply
    822,419x = 1,226,810 × 1,226,810
  4. Step 4: Simplify right side
    822,419x = 1,505,062,776,100
  5. Step 5: Solve for x
    x = 1,505,062,776,100/822,419
  6. Step 6: Final answer
    x = 1,830,043.78

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.