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Finding the Third Proportional to 927,427.50 and 2,013,477.75

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Solution

The third proportional to 927,427.50 and 2,013,477.75 is: 4,371,331.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    927,427.50 : 2,013,477.75 = 2,013,477.75 : x
  2. Step 2: Convert to fraction form
    927,427.50/2,013,477.75 = 2,013,477.75/x
  3. Step 3: Cross multiply
    927,427.50x = 2,013,477.75 × 2,013,477.75
  4. Step 4: Simplify right side
    927,427.50x = 4,054,092,649,745.06
  5. Step 5: Solve for x
    x = 4,054,092,649,745.06/927,427.50
  6. Step 6: Final answer
    x = 4,371,331.07

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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.