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Finding the Third Proportional to 986,735 and 2,158,006

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Solution

The third proportional to 986,735 and 2,158,006 is: 4,719,595.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    986,735 : 2,158,006 = 2,158,006 : x
  2. Step 2: Convert to fraction form
    986,735/2,158,006 = 2,158,006/x
  3. Step 3: Cross multiply
    986,735x = 2,158,006 × 2,158,006
  4. Step 4: Simplify right side
    986,735x = 4,656,989,896,036
  5. Step 5: Solve for x
    x = 4,656,989,896,036/986,735
  6. Step 6: Final answer
    x = 4,719,595.33

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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.