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Finding the Third Proportional to 854,684 and 1,868,130

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Solution

The third proportional to 854,684 and 1,868,130 is: 4,083,274.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    854,684 : 1,868,130 = 1,868,130 : x
  2. Step 2: Convert to fraction form
    854,684/1,868,130 = 1,868,130/x
  3. Step 3: Cross multiply
    854,684x = 1,868,130 × 1,868,130
  4. Step 4: Simplify right side
    854,684x = 3,489,909,696,900
  5. Step 5: Solve for x
    x = 3,489,909,696,900/854,684
  6. Step 6: Final answer
    x = 4,083,274.87

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.