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Finding the Third Proportional to 4,460,639 and 7,097,753

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Solution

The third proportional to 4,460,639 and 7,097,753 is: 11,293,919.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,460,639 : 7,097,753 = 7,097,753 : x
  2. Step 2: Convert to fraction form
    4,460,639/7,097,753 = 7,097,753/x
  3. Step 3: Cross multiply
    4,460,639x = 7,097,753 × 7,097,753
  4. Step 4: Simplify right side
    4,460,639x = 50,378,097,649,009
  5. Step 5: Solve for x
    x = 50,378,097,649,009/4,460,639
  6. Step 6: Final answer
    x = 11,293,919.47

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.