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Finding the Third Proportional to 4,184,000 and 6,465,342

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Solution

The third proportional to 4,184,000 and 6,465,342 is: 9,990,594.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,184,000 : 6,465,342 = 6,465,342 : x
  2. Step 2: Convert to fraction form
    4,184,000/6,465,342 = 6,465,342/x
  3. Step 3: Cross multiply
    4,184,000x = 6,465,342 × 6,465,342
  4. Step 4: Simplify right side
    4,184,000x = 41,800,647,176,964
  5. Step 5: Solve for x
    x = 41,800,647,176,964/4,184,000
  6. Step 6: Final answer
    x = 9,990,594.45

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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.