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Finding the Third Proportional to 529,702 and 1,087,321

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Solution

The third proportional to 529,702 and 1,087,321 is: 2,231,947.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,702 : 1,087,321 = 1,087,321 : x
  2. Step 2: Convert to fraction form
    529,702/1,087,321 = 1,087,321/x
  3. Step 3: Cross multiply
    529,702x = 1,087,321 × 1,087,321
  4. Step 4: Simplify right side
    529,702x = 1,182,266,957,041
  5. Step 5: Solve for x
    x = 1,182,266,957,041/529,702
  6. Step 6: Final answer
    x = 2,231,947.32

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.