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Finding the Third Proportional to 1,445,812.50 and 3,140,868

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Solution

The third proportional to 1,445,812.50 and 3,140,868 is: 6,823,188.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,445,812.50 : 3,140,868 = 3,140,868 : x
  2. Step 2: Convert to fraction form
    1,445,812.50/3,140,868 = 3,140,868/x
  3. Step 3: Cross multiply
    1,445,812.50x = 3,140,868 × 3,140,868
  4. Step 4: Simplify right side
    1,445,812.50x = 9,865,051,793,424
  5. Step 5: Solve for x
    x = 9,865,051,793,424/1,445,812.50
  6. Step 6: Final answer
    x = 6,823,188.89

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.