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Finding the Third Proportional to 4,417,544 and 6,480,904

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Solution

The third proportional to 4,417,544 and 6,480,904 is: 9,508,024.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,417,544 : 6,480,904 = 6,480,904 : x
  2. Step 2: Convert to fraction form
    4,417,544/6,480,904 = 6,480,904/x
  3. Step 3: Cross multiply
    4,417,544x = 6,480,904 × 6,480,904
  4. Step 4: Simplify right side
    4,417,544x = 42,002,116,657,216
  5. Step 5: Solve for x
    x = 42,002,116,657,216/4,417,544
  6. Step 6: Final answer
    x = 9,508,024.52

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.