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Finding the Third Proportional to 1,946,431.90 and 4,259,429.30

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Solution

The third proportional to 1,946,431.90 and 4,259,429.30 is: 9,321,023.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,946,431.90 : 4,259,429.30 = 4,259,429.30 : x
  2. Step 2: Convert to fraction form
    1,946,431.90/4,259,429.30 = 4,259,429.30/x
  3. Step 3: Cross multiply
    1,946,431.90x = 4,259,429.30 × 4,259,429.30
  4. Step 4: Simplify right side
    1,946,431.90x = 18,142,737,935,077.06
  5. Step 5: Solve for x
    x = 18,142,737,935,077.06/1,946,431.90
  6. Step 6: Final answer
    x = 9,321,023.74

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.