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Finding the Third Proportional to 4,739,969 and 7,159,764

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Solution

The third proportional to 4,739,969 and 7,159,764 is: 10,814,885.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,739,969 : 7,159,764 = 7,159,764 : x
  2. Step 2: Convert to fraction form
    4,739,969/7,159,764 = 7,159,764/x
  3. Step 3: Cross multiply
    4,739,969x = 7,159,764 × 7,159,764
  4. Step 4: Simplify right side
    4,739,969x = 51,262,220,535,696
  5. Step 5: Solve for x
    x = 51,262,220,535,696/4,739,969
  6. Step 6: Final answer
    x = 10,814,885.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.