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Finding the Third Proportional to 814,645 and 1,139,465

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Solution

The third proportional to 814,645 and 1,139,465 is: 1,593,799.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    814,645 : 1,139,465 = 1,139,465 : x
  2. Step 2: Convert to fraction form
    814,645/1,139,465 = 1,139,465/x
  3. Step 3: Cross multiply
    814,645x = 1,139,465 × 1,139,465
  4. Step 4: Simplify right side
    814,645x = 1,298,380,486,225
  5. Step 5: Solve for x
    x = 1,298,380,486,225/814,645
  6. Step 6: Final answer
    x = 1,593,799.12

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