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Finding the Third Proportional to 814,354 and 1,773,264

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Solution

The third proportional to 814,354 and 1,773,264 is: 3,861,300.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    814,354 : 1,773,264 = 1,773,264 : x
  2. Step 2: Convert to fraction form
    814,354/1,773,264 = 1,773,264/x
  3. Step 3: Cross multiply
    814,354x = 1,773,264 × 1,773,264
  4. Step 4: Simplify right side
    814,354x = 3,144,465,213,696
  5. Step 5: Solve for x
    x = 3,144,465,213,696/814,354
  6. Step 6: Final answer
    x = 3,861,300.14

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.