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Finding the Third Proportional to 657,706.50 and 1,416,933

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Solution

The third proportional to 657,706.50 and 1,416,933 is: 3,052,576.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,706.50 : 1,416,933 = 1,416,933 : x
  2. Step 2: Convert to fraction form
    657,706.50/1,416,933 = 1,416,933/x
  3. Step 3: Cross multiply
    657,706.50x = 1,416,933 × 1,416,933
  4. Step 4: Simplify right side
    657,706.50x = 2,007,699,126,489
  5. Step 5: Solve for x
    x = 2,007,699,126,489/657,706.50
  6. Step 6: Final answer
    x = 3,052,576.08

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.