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Finding the Third Proportional to 700,870 and 1,065,155

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Solution

The third proportional to 700,870 and 1,065,155 is: 1,618,781.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,870 : 1,065,155 = 1,065,155 : x
  2. Step 2: Convert to fraction form
    700,870/1,065,155 = 1,065,155/x
  3. Step 3: Cross multiply
    700,870x = 1,065,155 × 1,065,155
  4. Step 4: Simplify right side
    700,870x = 1,134,555,174,025
  5. Step 5: Solve for x
    x = 1,134,555,174,025/700,870
  6. Step 6: Final answer
    x = 1,618,781.19

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.