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Finding the Third Proportional to 671,530.50 and 1,382,425.88

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Solution

The third proportional to 671,530.50 and 1,382,425.88 is: 2,845,889.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    671,530.50 : 1,382,425.88 = 1,382,425.88 : x
  2. Step 2: Convert to fraction form
    671,530.50/1,382,425.88 = 1,382,425.88/x
  3. Step 3: Cross multiply
    671,530.50x = 1,382,425.88 × 1,382,425.88
  4. Step 4: Simplify right side
    671,530.50x = 1,911,101,299,869.52
  5. Step 5: Solve for x
    x = 1,911,101,299,869.52/671,530.50
  6. Step 6: Final answer
    x = 2,845,889.05

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.