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Finding the Third Proportional to 975,523.50 and 1,532,324.25

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Solution

The third proportional to 975,523.50 and 1,532,324.25 is: 2,406,930.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    975,523.50 : 1,532,324.25 = 1,532,324.25 : x
  2. Step 2: Convert to fraction form
    975,523.50/1,532,324.25 = 1,532,324.25/x
  3. Step 3: Cross multiply
    975,523.50x = 1,532,324.25 × 1,532,324.25
  4. Step 4: Simplify right side
    975,523.50x = 2,348,017,607,138.06
  5. Step 5: Solve for x
    x = 2,348,017,607,138.06/975,523.50
  6. Step 6: Final answer
    x = 2,406,930.85

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.