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Finding the Third Proportional to 1,233,807 and 1,680,853

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Solution

The third proportional to 1,233,807 and 1,680,853 is: 2,289,877.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,233,807 : 1,680,853 = 1,680,853 : x
  2. Step 2: Convert to fraction form
    1,233,807/1,680,853 = 1,680,853/x
  3. Step 3: Cross multiply
    1,233,807x = 1,680,853 × 1,680,853
  4. Step 4: Simplify right side
    1,233,807x = 2,825,266,807,609
  5. Step 5: Solve for x
    x = 2,825,266,807,609/1,233,807
  6. Step 6: Final answer
    x = 2,289,877.43

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.