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Finding the Third Proportional to 1,769,030 and 3,869,281

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Solution

The third proportional to 1,769,030 and 3,869,281 is: 8,463,019.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,769,030 : 3,869,281 = 3,869,281 : x
  2. Step 2: Convert to fraction form
    1,769,030/3,869,281 = 3,869,281/x
  3. Step 3: Cross multiply
    1,769,030x = 3,869,281 × 3,869,281
  4. Step 4: Simplify right side
    1,769,030x = 14,971,335,456,961
  5. Step 5: Solve for x
    x = 14,971,335,456,961/1,769,030
  6. Step 6: Final answer
    x = 8,463,019.54

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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.