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Finding the Third Proportional to 769,046 and 1,165,020

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Solution

The third proportional to 769,046 and 1,165,020 is: 1,764,877.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    769,046 : 1,165,020 = 1,165,020 : x
  2. Step 2: Convert to fraction form
    769,046/1,165,020 = 1,165,020/x
  3. Step 3: Cross multiply
    769,046x = 1,165,020 × 1,165,020
  4. Step 4: Simplify right side
    769,046x = 1,357,271,600,400
  5. Step 5: Solve for x
    x = 1,357,271,600,400/769,046
  6. Step 6: Final answer
    x = 1,764,877.00

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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.