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Finding the Third Proportional to 1,650,420 and 2,226,798

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Solution

The third proportional to 1,650,420 and 2,226,798 is: 3,004,465.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,650,420 : 2,226,798 = 2,226,798 : x
  2. Step 2: Convert to fraction form
    1,650,420/2,226,798 = 2,226,798/x
  3. Step 3: Cross multiply
    1,650,420x = 2,226,798 × 2,226,798
  4. Step 4: Simplify right side
    1,650,420x = 4,958,629,332,804
  5. Step 5: Solve for x
    x = 4,958,629,332,804/1,650,420
  6. Step 6: Final answer
    x = 3,004,465.13

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.