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Finding the Third Proportional to 986,737 and 2,158,010

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Solution

The third proportional to 986,737 and 2,158,010 is: 4,719,603.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    986,737 : 2,158,010 = 2,158,010 : x
  2. Step 2: Convert to fraction form
    986,737/2,158,010 = 2,158,010/x
  3. Step 3: Cross multiply
    986,737x = 2,158,010 × 2,158,010
  4. Step 4: Simplify right side
    986,737x = 4,657,007,160,100
  5. Step 5: Solve for x
    x = 4,657,007,160,100/986,737
  6. Step 6: Final answer
    x = 4,719,603.26

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.