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Finding the Third Proportional to 812,569.50 and 1,750,014

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Solution

The third proportional to 812,569.50 and 1,750,014 is: 3,768,968.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    812,569.50 : 1,750,014 = 1,750,014 : x
  2. Step 2: Convert to fraction form
    812,569.50/1,750,014 = 1,750,014/x
  3. Step 3: Cross multiply
    812,569.50x = 1,750,014 × 1,750,014
  4. Step 4: Simplify right side
    812,569.50x = 3,062,549,000,196
  5. Step 5: Solve for x
    x = 3,062,549,000,196/812,569.50
  6. Step 6: Final answer
    x = 3,768,968.69

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.