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Finding the Third Proportional to 3,158,824 and 4,619,769

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Solution

The third proportional to 3,158,824 and 4,619,769 is: 6,756,395.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,158,824 : 4,619,769 = 4,619,769 : x
  2. Step 2: Convert to fraction form
    3,158,824/4,619,769 = 4,619,769/x
  3. Step 3: Cross multiply
    3,158,824x = 4,619,769 × 4,619,769
  4. Step 4: Simplify right side
    3,158,824x = 21,342,265,613,361
  5. Step 5: Solve for x
    x = 21,342,265,613,361/3,158,824
  6. Step 6: Final answer
    x = 6,756,395.93

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.