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Finding the Third Proportional to 1,869,968 and 4,035,172

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Solution

The third proportional to 1,869,968 and 4,035,172 is: 8,707,428.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,869,968 : 4,035,172 = 4,035,172 : x
  2. Step 2: Convert to fraction form
    1,869,968/4,035,172 = 4,035,172/x
  3. Step 3: Cross multiply
    1,869,968x = 4,035,172 × 4,035,172
  4. Step 4: Simplify right side
    1,869,968x = 16,282,613,069,584
  5. Step 5: Solve for x
    x = 16,282,613,069,584/1,869,968
  6. Step 6: Final answer
    x = 8,707,428.72

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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.