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Finding the Third Proportional to 2,298,904 and 3,480,272

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Solution

The third proportional to 2,298,904 and 3,480,272 is: 5,268,725.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,298,904 : 3,480,272 = 3,480,272 : x
  2. Step 2: Convert to fraction form
    2,298,904/3,480,272 = 3,480,272/x
  3. Step 3: Cross multiply
    2,298,904x = 3,480,272 × 3,480,272
  4. Step 4: Simplify right side
    2,298,904x = 12,112,293,193,984
  5. Step 5: Solve for x
    x = 12,112,293,193,984/2,298,904
  6. Step 6: Final answer
    x = 5,268,725.09

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.