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Finding the Third Proportional to 985,072 and 2,127,616

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Solution

The third proportional to 985,072 and 2,127,616 is: 4,595,349.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    985,072 : 2,127,616 = 2,127,616 : x
  2. Step 2: Convert to fraction form
    985,072/2,127,616 = 2,127,616/x
  3. Step 3: Cross multiply
    985,072x = 2,127,616 × 2,127,616
  4. Step 4: Simplify right side
    985,072x = 4,526,749,843,456
  5. Step 5: Solve for x
    x = 4,526,749,843,456/985,072
  6. Step 6: Final answer
    x = 4,595,349.22

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.