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Finding the Third Proportional to 419,886 and 910,640

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Solution

The third proportional to 419,886 and 910,640 is: 1,974,977.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,886 : 910,640 = 910,640 : x
  2. Step 2: Convert to fraction form
    419,886/910,640 = 910,640/x
  3. Step 3: Cross multiply
    419,886x = 910,640 × 910,640
  4. Step 4: Simplify right side
    419,886x = 829,265,209,600
  5. Step 5: Solve for x
    x = 829,265,209,600/419,886
  6. Step 6: Final answer
    x = 1,974,977.04

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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.