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Finding the Third Proportional to 631,207.69 and 1,341,253.69

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Solution

The third proportional to 631,207.69 and 1,341,253.69 is: 2,850,030.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,207.69 : 1,341,253.69 = 1,341,253.69 : x
  2. Step 2: Convert to fraction form
    631,207.69/1,341,253.69 = 1,341,253.69/x
  3. Step 3: Cross multiply
    631,207.69x = 1,341,253.69 × 1,341,253.69
  4. Step 4: Simplify right side
    631,207.69x = 1,798,961,454,232.35
  5. Step 5: Solve for x
    x = 1,798,961,454,232.35/631,207.69
  6. Step 6: Final answer
    x = 2,850,030.96

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.