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Finding the Third Proportional to 1,356,295.50 and 2,098,221

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Solution

The third proportional to 1,356,295.50 and 2,098,221 is: 3,245,997.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,356,295.50 : 2,098,221 = 2,098,221 : x
  2. Step 2: Convert to fraction form
    1,356,295.50/2,098,221 = 2,098,221/x
  3. Step 3: Cross multiply
    1,356,295.50x = 2,098,221 × 2,098,221
  4. Step 4: Simplify right side
    1,356,295.50x = 4,402,531,364,841
  5. Step 5: Solve for x
    x = 4,402,531,364,841/1,356,295.50
  6. Step 6: Final answer
    x = 3,245,997.18

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.