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Finding the Third Proportional to 766,426 and 1,160,242

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Solution

The third proportional to 766,426 and 1,160,242 is: 1,756,414.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    766,426 : 1,160,242 = 1,160,242 : x
  2. Step 2: Convert to fraction form
    766,426/1,160,242 = 1,160,242/x
  3. Step 3: Cross multiply
    766,426x = 1,160,242 × 1,160,242
  4. Step 4: Simplify right side
    766,426x = 1,346,161,498,564
  5. Step 5: Solve for x
    x = 1,346,161,498,564/766,426
  6. Step 6: Final answer
    x = 1,756,414.19

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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.