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Finding the Third Proportional to 1,869,948 and 4,094,586

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Solution

The third proportional to 1,869,948 and 4,094,586 is: 8,965,829.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,869,948 : 4,094,586 = 4,094,586 : x
  2. Step 2: Convert to fraction form
    1,869,948/4,094,586 = 4,094,586/x
  3. Step 3: Cross multiply
    1,869,948x = 4,094,586 × 4,094,586
  4. Step 4: Simplify right side
    1,869,948x = 16,765,634,511,396
  5. Step 5: Solve for x
    x = 16,765,634,511,396/1,869,948
  6. Step 6: Final answer
    x = 8,965,829.27

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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.