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Finding the Third Proportional to 3,106,080 and 4,797,696

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Solution

The third proportional to 3,106,080 and 4,797,696 is: 7,410,590.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,106,080 : 4,797,696 = 4,797,696 : x
  2. Step 2: Convert to fraction form
    3,106,080/4,797,696 = 4,797,696/x
  3. Step 3: Cross multiply
    3,106,080x = 4,797,696 × 4,797,696
  4. Step 4: Simplify right side
    3,106,080x = 23,017,886,908,416
  5. Step 5: Solve for x
    x = 23,017,886,908,416/3,106,080
  6. Step 6: Final answer
    x = 7,410,590.49

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.