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Finding the Third Proportional to 766,428 and 1,160,245

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Solution

The third proportional to 766,428 and 1,160,245 is: 1,756,418.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    766,428 : 1,160,245 = 1,160,245 : x
  2. Step 2: Convert to fraction form
    766,428/1,160,245 = 1,160,245/x
  3. Step 3: Cross multiply
    766,428x = 1,160,245 × 1,160,245
  4. Step 4: Simplify right side
    766,428x = 1,346,168,460,025
  5. Step 5: Solve for x
    x = 1,346,168,460,025/766,428
  6. Step 6: Final answer
    x = 1,756,418.69

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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.