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Finding the Third Proportional to 4,183,746 and 6,464,835

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Solution

The third proportional to 4,183,746 and 6,464,835 is: 9,989,634.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,183,746 : 6,464,835 = 6,464,835 : x
  2. Step 2: Convert to fraction form
    4,183,746/6,464,835 = 6,464,835/x
  3. Step 3: Cross multiply
    4,183,746x = 6,464,835 × 6,464,835
  4. Step 4: Simplify right side
    4,183,746x = 41,794,091,577,225
  5. Step 5: Solve for x
    x = 41,794,091,577,225/4,183,746
  6. Step 6: Final answer
    x = 9,989,634.07

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.