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Finding the Third Proportional to 1,046,770 and 1,660,203

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Solution

The third proportional to 1,046,770 and 1,660,203 is: 2,633,122.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046,770 : 1,660,203 = 1,660,203 : x
  2. Step 2: Convert to fraction form
    1,046,770/1,660,203 = 1,660,203/x
  3. Step 3: Cross multiply
    1,046,770x = 1,660,203 × 1,660,203
  4. Step 4: Simplify right side
    1,046,770x = 2,756,274,001,209
  5. Step 5: Solve for x
    x = 2,756,274,001,209/1,046,770
  6. Step 6: Final answer
    x = 2,633,122.85

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.