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Finding the Third Proportional to 810,829 and 1,140,535

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Solution

The third proportional to 810,829 and 1,140,535 is: 1,604,308.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    810,829 : 1,140,535 = 1,140,535 : x
  2. Step 2: Convert to fraction form
    810,829/1,140,535 = 1,140,535/x
  3. Step 3: Cross multiply
    810,829x = 1,140,535 × 1,140,535
  4. Step 4: Simplify right side
    810,829x = 1,300,820,086,225
  5. Step 5: Solve for x
    x = 1,300,820,086,225/810,829
  6. Step 6: Final answer
    x = 1,604,308.78

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.