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Finding the Third Proportional to 727,112 and 1,555,312

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Solution

The third proportional to 727,112 and 1,555,312 is: 3,326,853.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    727,112 : 1,555,312 = 1,555,312 : x
  2. Step 2: Convert to fraction form
    727,112/1,555,312 = 1,555,312/x
  3. Step 3: Cross multiply
    727,112x = 1,555,312 × 1,555,312
  4. Step 4: Simplify right side
    727,112x = 2,418,995,417,344
  5. Step 5: Solve for x
    x = 2,418,995,417,344/727,112
  6. Step 6: Final answer
    x = 3,326,853.93

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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.