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Finding the Third Proportional to 766,408 and 1,160,214

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Solution

The third proportional to 766,408 and 1,160,214 is: 1,756,370.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    766,408 : 1,160,214 = 1,160,214 : x
  2. Step 2: Convert to fraction form
    766,408/1,160,214 = 1,160,214/x
  3. Step 3: Cross multiply
    766,408x = 1,160,214 × 1,160,214
  4. Step 4: Simplify right side
    766,408x = 1,346,096,525,796
  5. Step 5: Solve for x
    x = 1,346,096,525,796/766,408
  6. Step 6: Final answer
    x = 1,756,370.66

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.