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Finding the Third Proportional to 861,700 and 1,840,684

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Solution

The third proportional to 861,700 and 1,840,684 is: 3,931,899.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    861,700 : 1,840,684 = 1,840,684 : x
  2. Step 2: Convert to fraction form
    861,700/1,840,684 = 1,840,684/x
  3. Step 3: Cross multiply
    861,700x = 1,840,684 × 1,840,684
  4. Step 4: Simplify right side
    861,700x = 3,388,117,587,856
  5. Step 5: Solve for x
    x = 3,388,117,587,856/861,700
  6. Step 6: Final answer
    x = 3,931,899.25

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.