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Finding the Third Proportional to 691,205 and 1,036,808

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Solution

The third proportional to 691,205 and 1,036,808 is: 1,555,212.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    691,205 : 1,036,808 = 1,036,808 : x
  2. Step 2: Convert to fraction form
    691,205/1,036,808 = 1,036,808/x
  3. Step 3: Cross multiply
    691,205x = 1,036,808 × 1,036,808
  4. Step 4: Simplify right side
    691,205x = 1,074,970,828,864
  5. Step 5: Solve for x
    x = 1,074,970,828,864/691,205
  6. Step 6: Final answer
    x = 1,555,212.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.