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Finding the Third Proportional to 533,713 and 1,165,922

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Solution

The third proportional to 533,713 and 1,165,922 is: 2,547,013.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,713 : 1,165,922 = 1,165,922 : x
  2. Step 2: Convert to fraction form
    533,713/1,165,922 = 1,165,922/x
  3. Step 3: Cross multiply
    533,713x = 1,165,922 × 1,165,922
  4. Step 4: Simplify right side
    533,713x = 1,359,374,110,084
  5. Step 5: Solve for x
    x = 1,359,374,110,084/533,713
  6. Step 6: Final answer
    x = 2,547,013.30

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.