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Finding the Third Proportional to 4,886,784 and 6,426,214

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Solution

The third proportional to 4,886,784 and 6,426,214 is: 8,450,593.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,886,784 : 6,426,214 = 6,426,214 : x
  2. Step 2: Convert to fraction form
    4,886,784/6,426,214 = 6,426,214/x
  3. Step 3: Cross multiply
    4,886,784x = 6,426,214 × 6,426,214
  4. Step 4: Simplify right side
    4,886,784x = 41,296,226,373,796
  5. Step 5: Solve for x
    x = 41,296,226,373,796/4,886,784
  6. Step 6: Final answer
    x = 8,450,593.76

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.