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Finding the Third Proportional to 572,970.38 and 1,214,241.38

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Solution

The third proportional to 572,970.38 and 1,214,241.38 is: 2,573,225.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    572,970.38 : 1,214,241.38 = 1,214,241.38 : x
  2. Step 2: Convert to fraction form
    572,970.38/1,214,241.38 = 1,214,241.38/x
  3. Step 3: Cross multiply
    572,970.38x = 1,214,241.38 × 1,214,241.38
  4. Step 4: Simplify right side
    572,970.38x = 1,474,382,116,761.89
  5. Step 5: Solve for x
    x = 1,474,382,116,761.89/572,970.38
  6. Step 6: Final answer
    x = 2,573,225.74

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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.