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Finding the Third Proportional to 502,758 and 1,057,221

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Solution

The third proportional to 502,758 and 1,057,221 is: 2,223,169.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,758 : 1,057,221 = 1,057,221 : x
  2. Step 2: Convert to fraction form
    502,758/1,057,221 = 1,057,221/x
  3. Step 3: Cross multiply
    502,758x = 1,057,221 × 1,057,221
  4. Step 4: Simplify right side
    502,758x = 1,117,716,242,841
  5. Step 5: Solve for x
    x = 1,117,716,242,841/502,758
  6. Step 6: Final answer
    x = 2,223,169.48

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.