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Finding the Third Proportional to 2,301,456 and 3,452,184

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Solution

The third proportional to 2,301,456 and 3,452,184 is: 5,178,276

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,301,456 : 3,452,184 = 3,452,184 : x
  2. Step 2: Convert to fraction form
    2,301,456/3,452,184 = 3,452,184/x
  3. Step 3: Cross multiply
    2,301,456x = 3,452,184 × 3,452,184
  4. Step 4: Simplify right side
    2,301,456x = 11,917,574,369,856
  5. Step 5: Solve for x
    x = 11,917,574,369,856/2,301,456
  6. Step 6: Final answer
    x = 5,178,276

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.