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Finding the Third Proportional to 1,182,946 and 1,853,203

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Solution

The third proportional to 1,182,946 and 1,853,203 is: 2,903,227.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,182,946 : 1,853,203 = 1,853,203 : x
  2. Step 2: Convert to fraction form
    1,182,946/1,853,203 = 1,853,203/x
  3. Step 3: Cross multiply
    1,182,946x = 1,853,203 × 1,853,203
  4. Step 4: Simplify right side
    1,182,946x = 3,434,361,359,209
  5. Step 5: Solve for x
    x = 3,434,361,359,209/1,182,946
  6. Step 6: Final answer
    x = 2,903,227.50

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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.