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Finding the Third Proportional to 785,656 and 1,201,350

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Solution

The third proportional to 785,656 and 1,201,350 is: 1,836,989.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    785,656 : 1,201,350 = 1,201,350 : x
  2. Step 2: Convert to fraction form
    785,656/1,201,350 = 1,201,350/x
  3. Step 3: Cross multiply
    785,656x = 1,201,350 × 1,201,350
  4. Step 4: Simplify right side
    785,656x = 1,443,241,822,500
  5. Step 5: Solve for x
    x = 1,443,241,822,500/785,656
  6. Step 6: Final answer
    x = 1,836,989.50

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.