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Finding the Third Proportional to 663,564.75 and 1,451,316

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Solution

The third proportional to 663,564.75 and 1,451,316 is: 3,174,246.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    663,564.75 : 1,451,316 = 1,451,316 : x
  2. Step 2: Convert to fraction form
    663,564.75/1,451,316 = 1,451,316/x
  3. Step 3: Cross multiply
    663,564.75x = 1,451,316 × 1,451,316
  4. Step 4: Simplify right side
    663,564.75x = 2,106,318,131,856
  5. Step 5: Solve for x
    x = 2,106,318,131,856/663,564.75
  6. Step 6: Final answer
    x = 3,174,246.57

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.