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Finding the Third Proportional to 986,688 and 2,108,160

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Solution

The third proportional to 986,688 and 2,108,160 is: 4,504,299.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    986,688 : 2,108,160 = 2,108,160 : x
  2. Step 2: Convert to fraction form
    986,688/2,108,160 = 2,108,160/x
  3. Step 3: Cross multiply
    986,688x = 2,108,160 × 2,108,160
  4. Step 4: Simplify right side
    986,688x = 4,444,338,585,600
  5. Step 5: Solve for x
    x = 4,444,338,585,600/986,688
  6. Step 6: Final answer
    x = 4,504,299.82

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.