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Finding the Third Proportional to 648,730 and 1,033,055

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Solution

The third proportional to 648,730 and 1,033,055 is: 1,645,064.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,730 : 1,033,055 = 1,033,055 : x
  2. Step 2: Convert to fraction form
    648,730/1,033,055 = 1,033,055/x
  3. Step 3: Cross multiply
    648,730x = 1,033,055 × 1,033,055
  4. Step 4: Simplify right side
    648,730x = 1,067,202,633,025
  5. Step 5: Solve for x
    x = 1,067,202,633,025/648,730
  6. Step 6: Final answer
    x = 1,645,064.41

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.