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Finding the Third Proportional to 1,248,794 and 2,946,953

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Solution

The third proportional to 1,248,794 and 2,946,953 is: 6,954,335.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,248,794 : 2,946,953 = 2,946,953 : x
  2. Step 2: Convert to fraction form
    1,248,794/2,946,953 = 2,946,953/x
  3. Step 3: Cross multiply
    1,248,794x = 2,946,953 × 2,946,953
  4. Step 4: Simplify right side
    1,248,794x = 8,684,531,984,209
  5. Step 5: Solve for x
    x = 8,684,531,984,209/1,248,794
  6. Step 6: Final answer
    x = 6,954,335.13

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.