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Finding the Third Proportional to 762,381 and 1,016,361

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Solution

The third proportional to 762,381 and 1,016,361 is: 1,354,952.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    762,381 : 1,016,361 = 1,016,361 : x
  2. Step 2: Convert to fraction form
    762,381/1,016,361 = 1,016,361/x
  3. Step 3: Cross multiply
    762,381x = 1,016,361 × 1,016,361
  4. Step 4: Simplify right side
    762,381x = 1,032,989,682,321
  5. Step 5: Solve for x
    x = 1,032,989,682,321/762,381
  6. Step 6: Final answer
    x = 1,354,952.03

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.