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Finding the Third Proportional to 1,840,257 and 4,021,683

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Solution

The third proportional to 1,840,257 and 4,021,683 is: 8,788,954.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,840,257 : 4,021,683 = 4,021,683 : x
  2. Step 2: Convert to fraction form
    1,840,257/4,021,683 = 4,021,683/x
  3. Step 3: Cross multiply
    1,840,257x = 4,021,683 × 4,021,683
  4. Step 4: Simplify right side
    1,840,257x = 16,173,934,152,489
  5. Step 5: Solve for x
    x = 16,173,934,152,489/1,840,257
  6. Step 6: Final answer
    x = 8,788,954.02

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.