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Finding the Third Proportional to 812,352 and 1,257,226.88

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Solution

The third proportional to 812,352 and 1,257,226.88 is: 1,945,732.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    812,352 : 1,257,226.88 = 1,257,226.88 : x
  2. Step 2: Convert to fraction form
    812,352/1,257,226.88 = 1,257,226.88/x
  3. Step 3: Cross multiply
    812,352x = 1,257,226.88 × 1,257,226.88
  4. Step 4: Simplify right side
    812,352x = 1,580,619,415,222.27
  5. Step 5: Solve for x
    x = 1,580,619,415,222.27/812,352
  6. Step 6: Final answer
    x = 1,945,732.16

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.