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Finding the Third Proportional to 3,097,928 and 4,461,888

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Solution

The third proportional to 3,097,928 and 4,461,888 is: 6,426,374.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,097,928 : 4,461,888 = 4,461,888 : x
  2. Step 2: Convert to fraction form
    3,097,928/4,461,888 = 4,461,888/x
  3. Step 3: Cross multiply
    3,097,928x = 4,461,888 × 4,461,888
  4. Step 4: Simplify right side
    3,097,928x = 19,908,444,524,544
  5. Step 5: Solve for x
    x = 19,908,444,524,544/3,097,928
  6. Step 6: Final answer
    x = 6,426,374.18

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.