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Finding the Third Proportional to 1,427,946 and 3,003,150

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Solution

The third proportional to 1,427,946 and 3,003,150 is: 6,316,002.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,427,946 : 3,003,150 = 3,003,150 : x
  2. Step 2: Convert to fraction form
    1,427,946/3,003,150 = 3,003,150/x
  3. Step 3: Cross multiply
    1,427,946x = 3,003,150 × 3,003,150
  4. Step 4: Simplify right side
    1,427,946x = 9,018,909,922,500
  5. Step 5: Solve for x
    x = 9,018,909,922,500/1,427,946
  6. Step 6: Final answer
    x = 6,316,002.09

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.