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Finding the Third Proportional to 2,307,128 and 4,969,246

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Solution

The third proportional to 2,307,128 and 4,969,246 is: 10,703,093.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,307,128 : 4,969,246 = 4,969,246 : x
  2. Step 2: Convert to fraction form
    2,307,128/4,969,246 = 4,969,246/x
  3. Step 3: Cross multiply
    2,307,128x = 4,969,246 × 4,969,246
  4. Step 4: Simplify right side
    2,307,128x = 24,693,405,808,516
  5. Step 5: Solve for x
    x = 24,693,405,808,516/2,307,128
  6. Step 6: Final answer
    x = 10,703,093.11

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.