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Finding the Third Proportional to 1,946,178 and 3,099,148.50

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Solution

The third proportional to 1,946,178 and 3,099,148.50 is: 4,935,171.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,946,178 : 3,099,148.50 = 3,099,148.50 : x
  2. Step 2: Convert to fraction form
    1,946,178/3,099,148.50 = 3,099,148.50/x
  3. Step 3: Cross multiply
    1,946,178x = 3,099,148.50 × 3,099,148.50
  4. Step 4: Simplify right side
    1,946,178x = 9,604,721,425,052.25
  5. Step 5: Solve for x
    x = 9,604,721,425,052.25/1,946,178
  6. Step 6: Final answer
    x = 4,935,171.10

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.