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Finding the Third Proportional to 1,126,570 and 1,729,221

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Solution

The third proportional to 1,126,570 and 1,729,221 is: 2,654,256.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,126,570 : 1,729,221 = 1,729,221 : x
  2. Step 2: Convert to fraction form
    1,126,570/1,729,221 = 1,729,221/x
  3. Step 3: Cross multiply
    1,126,570x = 1,729,221 × 1,729,221
  4. Step 4: Simplify right side
    1,126,570x = 2,990,205,266,841
  5. Step 5: Solve for x
    x = 2,990,205,266,841/1,126,570
  6. Step 6: Final answer
    x = 2,654,256.08

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.