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Finding the Third Proportional to 535,314 and 1,188,726

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Solution

The third proportional to 535,314 and 1,188,726 is: 2,639,702.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,314 : 1,188,726 = 1,188,726 : x
  2. Step 2: Convert to fraction form
    535,314/1,188,726 = 1,188,726/x
  3. Step 3: Cross multiply
    535,314x = 1,188,726 × 1,188,726
  4. Step 4: Simplify right side
    535,314x = 1,413,069,503,076
  5. Step 5: Solve for x
    x = 1,413,069,503,076/535,314
  6. Step 6: Final answer
    x = 2,639,702.12

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.