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Finding the Third Proportional to 4,285,448 and 6,483,468

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Solution

The third proportional to 4,285,448 and 6,483,468 is: 9,808,859.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,285,448 : 6,483,468 = 6,483,468 : x
  2. Step 2: Convert to fraction form
    4,285,448/6,483,468 = 6,483,468/x
  3. Step 3: Cross multiply
    4,285,448x = 6,483,468 × 6,483,468
  4. Step 4: Simplify right side
    4,285,448x = 42,035,357,307,024
  5. Step 5: Solve for x
    x = 42,035,357,307,024/4,285,448
  6. Step 6: Final answer
    x = 9,808,859.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.