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Finding the Third Proportional to 810,124 and 910,726

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Solution

The third proportional to 810,124 and 910,726 is: 1,023,820.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    810,124 : 910,726 = 910,726 : x
  2. Step 2: Convert to fraction form
    810,124/910,726 = 910,726/x
  3. Step 3: Cross multiply
    810,124x = 910,726 × 910,726
  4. Step 4: Simplify right side
    810,124x = 829,421,847,076
  5. Step 5: Solve for x
    x = 829,421,847,076/810,124
  6. Step 6: Final answer
    x = 1,023,820.86

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Why These Related Problems?

These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.