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Finding the Third Proportional to 3,194,356 and 4,824,804

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Solution

The third proportional to 3,194,356 and 4,824,804 is: 7,287,457.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,194,356 : 4,824,804 = 4,824,804 : x
  2. Step 2: Convert to fraction form
    3,194,356/4,824,804 = 4,824,804/x
  3. Step 3: Cross multiply
    3,194,356x = 4,824,804 × 4,824,804
  4. Step 4: Simplify right side
    3,194,356x = 23,278,733,638,416
  5. Step 5: Solve for x
    x = 23,278,733,638,416/3,194,356
  6. Step 6: Final answer
    x = 7,287,457.52

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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.