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Finding the Third Proportional to 1,016,540 and 1,355,202

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Solution

The third proportional to 1,016,540 and 1,355,202 is: 1,806,689.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016,540 : 1,355,202 = 1,355,202 : x
  2. Step 2: Convert to fraction form
    1,016,540/1,355,202 = 1,355,202/x
  3. Step 3: Cross multiply
    1,016,540x = 1,355,202 × 1,355,202
  4. Step 4: Simplify right side
    1,016,540x = 1,836,572,460,804
  5. Step 5: Solve for x
    x = 1,836,572,460,804/1,016,540
  6. Step 6: Final answer
    x = 1,806,689.81

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.