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Finding the Third Proportional to 4,954,386 and 6,976,674

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Solution

The third proportional to 4,954,386 and 6,976,674 is: 9,824,422.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,954,386 : 6,976,674 = 6,976,674 : x
  2. Step 2: Convert to fraction form
    4,954,386/6,976,674 = 6,976,674/x
  3. Step 3: Cross multiply
    4,954,386x = 6,976,674 × 6,976,674
  4. Step 4: Simplify right side
    4,954,386x = 48,673,980,102,276
  5. Step 5: Solve for x
    x = 48,673,980,102,276/4,954,386
  6. Step 6: Final answer
    x = 9,824,422.26

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.