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Finding the Third Proportional to 3,115,944 and 4,929,754.50

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Solution

The third proportional to 3,115,944 and 4,929,754.50 is: 7,799,395.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,115,944 : 4,929,754.50 = 4,929,754.50 : x
  2. Step 2: Convert to fraction form
    3,115,944/4,929,754.50 = 4,929,754.50/x
  3. Step 3: Cross multiply
    3,115,944x = 4,929,754.50 × 4,929,754.50
  4. Step 4: Simplify right side
    3,115,944x = 24,302,479,430,270.25
  5. Step 5: Solve for x
    x = 24,302,479,430,270.25/3,115,944
  6. Step 6: Final answer
    x = 7,799,395.44

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.