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Finding the Third Proportional to 2,105,101.50 and 4,564,221

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Solution

The third proportional to 2,105,101.50 and 4,564,221 is: 9,896,013.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,105,101.50 : 4,564,221 = 4,564,221 : x
  2. Step 2: Convert to fraction form
    2,105,101.50/4,564,221 = 4,564,221/x
  3. Step 3: Cross multiply
    2,105,101.50x = 4,564,221 × 4,564,221
  4. Step 4: Simplify right side
    2,105,101.50x = 20,832,113,336,841
  5. Step 5: Solve for x
    x = 20,832,113,336,841/2,105,101.50
  6. Step 6: Final answer
    x = 9,896,013.73

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.