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Finding the Third Proportional to 478,674 and 1,036,596

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Solution

The third proportional to 478,674 and 1,036,596 is: 2,244,808.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,674 : 1,036,596 = 1,036,596 : x
  2. Step 2: Convert to fraction form
    478,674/1,036,596 = 1,036,596/x
  3. Step 3: Cross multiply
    478,674x = 1,036,596 × 1,036,596
  4. Step 4: Simplify right side
    478,674x = 1,074,531,267,216
  5. Step 5: Solve for x
    x = 1,074,531,267,216/478,674
  6. Step 6: Final answer
    x = 2,244,808.09

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.