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Finding the Third Proportional to 809,142 and 1,165,545

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Solution

The third proportional to 809,142 and 1,165,545 is: 1,678,932.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,142 : 1,165,545 = 1,165,545 : x
  2. Step 2: Convert to fraction form
    809,142/1,165,545 = 1,165,545/x
  3. Step 3: Cross multiply
    809,142x = 1,165,545 × 1,165,545
  4. Step 4: Simplify right side
    809,142x = 1,358,495,147,025
  5. Step 5: Solve for x
    x = 1,358,495,147,025/809,142
  6. Step 6: Final answer
    x = 1,678,932.93

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.