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Finding the Third Proportional to 648,540 and 1,036,048

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Solution

The third proportional to 648,540 and 1,036,048 is: 1,655,095.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,540 : 1,036,048 = 1,036,048 : x
  2. Step 2: Convert to fraction form
    648,540/1,036,048 = 1,036,048/x
  3. Step 3: Cross multiply
    648,540x = 1,036,048 × 1,036,048
  4. Step 4: Simplify right side
    648,540x = 1,073,395,458,304
  5. Step 5: Solve for x
    x = 1,073,395,458,304/648,540
  6. Step 6: Final answer
    x = 1,655,095.23

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.