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Finding the Third Proportional to 2,262,080 and 4,922,196

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Solution

The third proportional to 2,262,080 and 4,922,196 is: 10,710,502.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,262,080 : 4,922,196 = 4,922,196 : x
  2. Step 2: Convert to fraction form
    2,262,080/4,922,196 = 4,922,196/x
  3. Step 3: Cross multiply
    2,262,080x = 4,922,196 × 4,922,196
  4. Step 4: Simplify right side
    2,262,080x = 24,228,013,462,416
  5. Step 5: Solve for x
    x = 24,228,013,462,416/2,262,080
  6. Step 6: Final answer
    x = 10,710,502.49

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.