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Finding the Third Proportional to 1,681,220 and 3,482,070

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Solution

The third proportional to 1,681,220 and 3,482,070 is: 7,211,912.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,681,220 : 3,482,070 = 3,482,070 : x
  2. Step 2: Convert to fraction form
    1,681,220/3,482,070 = 3,482,070/x
  3. Step 3: Cross multiply
    1,681,220x = 3,482,070 × 3,482,070
  4. Step 4: Simplify right side
    1,681,220x = 12,124,811,484,900
  5. Step 5: Solve for x
    x = 12,124,811,484,900/1,681,220
  6. Step 6: Final answer
    x = 7,211,912.47

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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.