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Finding the Third Proportional to 836,500 and 1,262,598

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Solution

The third proportional to 836,500 and 1,262,598 is: 1,905,742.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    836,500 : 1,262,598 = 1,262,598 : x
  2. Step 2: Convert to fraction form
    836,500/1,262,598 = 1,262,598/x
  3. Step 3: Cross multiply
    836,500x = 1,262,598 × 1,262,598
  4. Step 4: Simplify right side
    836,500x = 1,594,153,709,604
  5. Step 5: Solve for x
    x = 1,594,153,709,604/836,500
  6. Step 6: Final answer
    x = 1,905,742.63

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.