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Finding the Third Proportional to 600,085 and 1,416,557.50

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Solution

The third proportional to 600,085 and 1,416,557.50 is: 3,343,918.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,085 : 1,416,557.50 = 1,416,557.50 : x
  2. Step 2: Convert to fraction form
    600,085/1,416,557.50 = 1,416,557.50/x
  3. Step 3: Cross multiply
    600,085x = 1,416,557.50 × 1,416,557.50
  4. Step 4: Simplify right side
    600,085x = 2,006,635,150,806.25
  5. Step 5: Solve for x
    x = 2,006,635,150,806.25/600,085
  6. Step 6: Final answer
    x = 3,343,918.20

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.