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Finding the Third Proportional to 812,853 and 1,265,800

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Solution

The third proportional to 812,853 and 1,265,800 is: 1,971,143.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    812,853 : 1,265,800 = 1,265,800 : x
  2. Step 2: Convert to fraction form
    812,853/1,265,800 = 1,265,800/x
  3. Step 3: Cross multiply
    812,853x = 1,265,800 × 1,265,800
  4. Step 4: Simplify right side
    812,853x = 1,602,249,640,000
  5. Step 5: Solve for x
    x = 1,602,249,640,000/812,853
  6. Step 6: Final answer
    x = 1,971,143.17

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.