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Finding the Third Proportional to 1,681,218 and 3,482,066

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Solution

The third proportional to 1,681,218 and 3,482,066 is: 7,211,904.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,681,218 : 3,482,066 = 3,482,066 : x
  2. Step 2: Convert to fraction form
    1,681,218/3,482,066 = 3,482,066/x
  3. Step 3: Cross multiply
    1,681,218x = 3,482,066 × 3,482,066
  4. Step 4: Simplify right side
    1,681,218x = 12,124,783,628,356
  5. Step 5: Solve for x
    x = 12,124,783,628,356/1,681,218
  6. Step 6: Final answer
    x = 7,211,904.48

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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.