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Finding the Third Proportional to 778,582.50 and 1,689,357

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Solution

The third proportional to 778,582.50 and 1,689,357 is: 3,665,542.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,582.50 : 1,689,357 = 1,689,357 : x
  2. Step 2: Convert to fraction form
    778,582.50/1,689,357 = 1,689,357/x
  3. Step 3: Cross multiply
    778,582.50x = 1,689,357 × 1,689,357
  4. Step 4: Simplify right side
    778,582.50x = 2,853,927,073,449
  5. Step 5: Solve for x
    x = 2,853,927,073,449/778,582.50
  6. Step 6: Final answer
    x = 3,665,542.28

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.