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Finding the Third Proportional to 663,585.75 and 1,000,815.75

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Solution

The third proportional to 663,585.75 and 1,000,815.75 is: 1,509,423.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    663,585.75 : 1,000,815.75 = 1,000,815.75 : x
  2. Step 2: Convert to fraction form
    663,585.75/1,000,815.75 = 1,000,815.75/x
  3. Step 3: Cross multiply
    663,585.75x = 1,000,815.75 × 1,000,815.75
  4. Step 4: Simplify right side
    663,585.75x = 1,001,632,165,448.06
  5. Step 5: Solve for x
    x = 1,001,632,165,448.06/663,585.75
  6. Step 6: Final answer
    x = 1,509,423.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.