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Finding the Third Proportional to 1,809,920 and 3,574,156

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Solution

The third proportional to 1,809,920 and 3,574,156 is: 7,058,097.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,809,920 : 3,574,156 = 3,574,156 : x
  2. Step 2: Convert to fraction form
    1,809,920/3,574,156 = 3,574,156/x
  3. Step 3: Cross multiply
    1,809,920x = 3,574,156 × 3,574,156
  4. Step 4: Simplify right side
    1,809,920x = 12,774,591,112,336
  5. Step 5: Solve for x
    x = 12,774,591,112,336/1,809,920
  6. Step 6: Final answer
    x = 7,058,097.11

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.