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Finding the Third Proportional to 4,097,900 and 6,013,989

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Solution

The third proportional to 4,097,900 and 6,013,989 is: 8,825,999.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,097,900 : 6,013,989 = 6,013,989 : x
  2. Step 2: Convert to fraction form
    4,097,900/6,013,989 = 6,013,989/x
  3. Step 3: Cross multiply
    4,097,900x = 6,013,989 × 6,013,989
  4. Step 4: Simplify right side
    4,097,900x = 36,168,063,692,121
  5. Step 5: Solve for x
    x = 36,168,063,692,121/4,097,900
  6. Step 6: Final answer
    x = 8,825,999.58

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.