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Finding the Third Proportional to 1,869,981 and 4,039,014

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Solution

The third proportional to 1,869,981 and 4,039,014 is: 8,723,957.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,869,981 : 4,039,014 = 4,039,014 : x
  2. Step 2: Convert to fraction form
    1,869,981/4,039,014 = 4,039,014/x
  3. Step 3: Cross multiply
    1,869,981x = 4,039,014 × 4,039,014
  4. Step 4: Simplify right side
    1,869,981x = 16,313,634,092,196
  5. Step 5: Solve for x
    x = 16,313,634,092,196/1,869,981
  6. Step 6: Final answer
    x = 8,723,957.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.