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Finding the Third Proportional to 2,347,320 and 4,946,835

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Solution

The third proportional to 2,347,320 and 4,946,835 is: 10,425,155.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,347,320 : 4,946,835 = 4,946,835 : x
  2. Step 2: Convert to fraction form
    2,347,320/4,946,835 = 4,946,835/x
  3. Step 3: Cross multiply
    2,347,320x = 4,946,835 × 4,946,835
  4. Step 4: Simplify right side
    2,347,320x = 24,471,176,517,225
  5. Step 5: Solve for x
    x = 24,471,176,517,225/2,347,320
  6. Step 6: Final answer
    x = 10,425,155.72

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.