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Finding the Third Proportional to 865,742 and 1,879,342

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Solution

The third proportional to 865,742 and 1,879,342 is: 4,079,652.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    865,742 : 1,879,342 = 1,879,342 : x
  2. Step 2: Convert to fraction form
    865,742/1,879,342 = 1,879,342/x
  3. Step 3: Cross multiply
    865,742x = 1,879,342 × 1,879,342
  4. Step 4: Simplify right side
    865,742x = 3,531,926,352,964
  5. Step 5: Solve for x
    x = 3,531,926,352,964/865,742
  6. Step 6: Final answer
    x = 4,079,652.31

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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.