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Finding the Third Proportional to 767,235 and 1,278,669.75

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Solution

The third proportional to 767,235 and 1,278,669.75 is: 2,131,024.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    767,235 : 1,278,669.75 = 1,278,669.75 : x
  2. Step 2: Convert to fraction form
    767,235/1,278,669.75 = 1,278,669.75/x
  3. Step 3: Cross multiply
    767,235x = 1,278,669.75 × 1,278,669.75
  4. Step 4: Simplify right side
    767,235x = 1,634,996,329,565.06
  5. Step 5: Solve for x
    x = 1,634,996,329,565.06/767,235
  6. Step 6: Final answer
    x = 2,131,024.17

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.