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Finding the Third Proportional to 900,196 and 1,962,158

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Solution

The third proportional to 900,196 and 1,962,158 is: 4,276,917.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    900,196 : 1,962,158 = 1,962,158 : x
  2. Step 2: Convert to fraction form
    900,196/1,962,158 = 1,962,158/x
  3. Step 3: Cross multiply
    900,196x = 1,962,158 × 1,962,158
  4. Step 4: Simplify right side
    900,196x = 3,850,064,016,964
  5. Step 5: Solve for x
    x = 3,850,064,016,964/900,196
  6. Step 6: Final answer
    x = 4,276,917.49

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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.