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Finding the Third Proportional to 727,064 and 1,555,216

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Solution

The third proportional to 727,064 and 1,555,216 is: 3,326,662.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    727,064 : 1,555,216 = 1,555,216 : x
  2. Step 2: Convert to fraction form
    727,064/1,555,216 = 1,555,216/x
  3. Step 3: Cross multiply
    727,064x = 1,555,216 × 1,555,216
  4. Step 4: Simplify right side
    727,064x = 2,418,696,806,656
  5. Step 5: Solve for x
    x = 2,418,696,806,656/727,064
  6. Step 6: Final answer
    x = 3,326,662.86

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.