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Finding the Third Proportional to 810,834 and 1,271,953

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Solution

The third proportional to 810,834 and 1,271,953 is: 1,995,309.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    810,834 : 1,271,953 = 1,271,953 : x
  2. Step 2: Convert to fraction form
    810,834/1,271,953 = 1,271,953/x
  3. Step 3: Cross multiply
    810,834x = 1,271,953 × 1,271,953
  4. Step 4: Simplify right side
    810,834x = 1,617,864,434,209
  5. Step 5: Solve for x
    x = 1,617,864,434,209/810,834
  6. Step 6: Final answer
    x = 1,995,309.07

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.