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Finding the Third Proportional to 4,738,360 and 6,929,830

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Solution

The third proportional to 4,738,360 and 6,929,830 is: 10,134,844.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,738,360 : 6,929,830 = 6,929,830 : x
  2. Step 2: Convert to fraction form
    4,738,360/6,929,830 = 6,929,830/x
  3. Step 3: Cross multiply
    4,738,360x = 6,929,830 × 6,929,830
  4. Step 4: Simplify right side
    4,738,360x = 48,022,543,828,900
  5. Step 5: Solve for x
    x = 48,022,543,828,900/4,738,360
  6. Step 6: Final answer
    x = 10,134,844.93

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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.