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Finding the Third Proportional to 643,034.95 and 986,788.83

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Solution

The third proportional to 643,034.95 and 986,788.83 is: 1,514,306.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,034.95 : 986,788.83 = 986,788.83 : x
  2. Step 2: Convert to fraction form
    643,034.95/986,788.83 = 986,788.83/x
  3. Step 3: Cross multiply
    643,034.95x = 986,788.83 × 986,788.83
  4. Step 4: Simplify right side
    643,034.95x = 973,752,191,312.31
  5. Step 5: Solve for x
    x = 973,752,191,312.31/643,034.95
  6. Step 6: Final answer
    x = 1,514,306.78

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.