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Finding the Third Proportional to 868,923 and 1,892,316

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Solution

The third proportional to 868,923 and 1,892,316 is: 4,121,032.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    868,923 : 1,892,316 = 1,892,316 : x
  2. Step 2: Convert to fraction form
    868,923/1,892,316 = 1,892,316/x
  3. Step 3: Cross multiply
    868,923x = 1,892,316 × 1,892,316
  4. Step 4: Simplify right side
    868,923x = 3,580,859,843,856
  5. Step 5: Solve for x
    x = 3,580,859,843,856/868,923
  6. Step 6: Final answer
    x = 4,121,032.41

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.