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Finding the Third Proportional to 4,738,359 and 6,929,841

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Solution

The third proportional to 4,738,359 and 6,929,841 is: 10,134,879.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,738,359 : 6,929,841 = 6,929,841 : x
  2. Step 2: Convert to fraction form
    4,738,359/6,929,841 = 6,929,841/x
  3. Step 3: Cross multiply
    4,738,359x = 6,929,841 × 6,929,841
  4. Step 4: Simplify right side
    4,738,359x = 48,022,696,285,281
  5. Step 5: Solve for x
    x = 48,022,696,285,281/4,738,359
  6. Step 6: Final answer
    x = 10,134,879.25

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.