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Finding the Third Proportional to 1,476,165 and 3,070,143

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Solution

The third proportional to 1,476,165 and 3,070,143 is: 6,385,314.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,476,165 : 3,070,143 = 3,070,143 : x
  2. Step 2: Convert to fraction form
    1,476,165/3,070,143 = 3,070,143/x
  3. Step 3: Cross multiply
    1,476,165x = 3,070,143 × 3,070,143
  4. Step 4: Simplify right side
    1,476,165x = 9,425,778,040,449
  5. Step 5: Solve for x
    x = 9,425,778,040,449/1,476,165
  6. Step 6: Final answer
    x = 6,385,314.68

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.