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Finding the Third Proportional to 1,431,569 and 3,115,033

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Solution

The third proportional to 1,431,569 and 3,115,033 is: 6,778,178.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,431,569 : 3,115,033 = 3,115,033 : x
  2. Step 2: Convert to fraction form
    1,431,569/3,115,033 = 3,115,033/x
  3. Step 3: Cross multiply
    1,431,569x = 3,115,033 × 3,115,033
  4. Step 4: Simplify right side
    1,431,569x = 9,703,430,591,089
  5. Step 5: Solve for x
    x = 9,703,430,591,089/1,431,569
  6. Step 6: Final answer
    x = 6,778,178.76

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.