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Finding the Third Proportional to 1,681,222 and 3,482,074

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Solution

The third proportional to 1,681,222 and 3,482,074 is: 7,211,920.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,681,222 : 3,482,074 = 3,482,074 : x
  2. Step 2: Convert to fraction form
    1,681,222/3,482,074 = 3,482,074/x
  3. Step 3: Cross multiply
    1,681,222x = 3,482,074 × 3,482,074
  4. Step 4: Simplify right side
    1,681,222x = 12,124,839,341,476
  5. Step 5: Solve for x
    x = 12,124,839,341,476/1,681,222
  6. Step 6: Final answer
    x = 7,211,920.46

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.