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Finding the Third Proportional to 681,369 and 1,433,352

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Solution

The third proportional to 681,369 and 1,433,352 is: 3,015,250.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,369 : 1,433,352 = 1,433,352 : x
  2. Step 2: Convert to fraction form
    681,369/1,433,352 = 1,433,352/x
  3. Step 3: Cross multiply
    681,369x = 1,433,352 × 1,433,352
  4. Step 4: Simplify right side
    681,369x = 2,054,497,955,904
  5. Step 5: Solve for x
    x = 2,054,497,955,904/681,369
  6. Step 6: Final answer
    x = 3,015,250.12

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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.