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Finding the Third Proportional to 465,940 and 1,008,047

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Solution

The third proportional to 465,940 and 1,008,047 is: 2,180,878.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,940 : 1,008,047 = 1,008,047 : x
  2. Step 2: Convert to fraction form
    465,940/1,008,047 = 1,008,047/x
  3. Step 3: Cross multiply
    465,940x = 1,008,047 × 1,008,047
  4. Step 4: Simplify right side
    465,940x = 1,016,158,754,209
  5. Step 5: Solve for x
    x = 1,016,158,754,209/465,940
  6. Step 6: Final answer
    x = 2,180,878.98

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.