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Finding the Third Proportional to 893,814 and 1,250,271

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Solution

The third proportional to 893,814 and 1,250,271 is: 1,748,884.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    893,814 : 1,250,271 = 1,250,271 : x
  2. Step 2: Convert to fraction form
    893,814/1,250,271 = 1,250,271/x
  3. Step 3: Cross multiply
    893,814x = 1,250,271 × 1,250,271
  4. Step 4: Simplify right side
    893,814x = 1,563,177,573,441
  5. Step 5: Solve for x
    x = 1,563,177,573,441/893,814
  6. Step 6: Final answer
    x = 1,748,884.64

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.