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Finding the Third Proportional to 509,545.69 and 1,041,204.38

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Solution

The third proportional to 509,545.69 and 1,041,204.38 is: 2,127,594.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,545.69 : 1,041,204.38 = 1,041,204.38 : x
  2. Step 2: Convert to fraction form
    509,545.69/1,041,204.38 = 1,041,204.38/x
  3. Step 3: Cross multiply
    509,545.69x = 1,041,204.38 × 1,041,204.38
  4. Step 4: Simplify right side
    509,545.69x = 1,084,106,550,519.14
  5. Step 5: Solve for x
    x = 1,084,106,550,519.14/509,545.69
  6. Step 6: Final answer
    x = 2,127,594.40

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.