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Finding the Third Proportional to 709,258 and 1,061,381

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Solution

The third proportional to 709,258 and 1,061,381 is: 1,588,321.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,258 : 1,061,381 = 1,061,381 : x
  2. Step 2: Convert to fraction form
    709,258/1,061,381 = 1,061,381/x
  3. Step 3: Cross multiply
    709,258x = 1,061,381 × 1,061,381
  4. Step 4: Simplify right side
    709,258x = 1,126,529,627,161
  5. Step 5: Solve for x
    x = 1,126,529,627,161/709,258
  6. Step 6: Final answer
    x = 1,588,321.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.