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Finding the Third Proportional to 405,918 and 868,158

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Solution

The third proportional to 405,918 and 868,158 is: 1,856,774.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,918 : 868,158 = 868,158 : x
  2. Step 2: Convert to fraction form
    405,918/868,158 = 868,158/x
  3. Step 3: Cross multiply
    405,918x = 868,158 × 868,158
  4. Step 4: Simplify right side
    405,918x = 753,698,312,964
  5. Step 5: Solve for x
    x = 753,698,312,964/405,918
  6. Step 6: Final answer
    x = 1,856,774.80

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Why These Related Problems?

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