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Finding the Third Proportional to 836,498 and 1,262,595

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Solution

The third proportional to 836,498 and 1,262,595 is: 1,905,738.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    836,498 : 1,262,595 = 1,262,595 : x
  2. Step 2: Convert to fraction form
    836,498/1,262,595 = 1,262,595/x
  3. Step 3: Cross multiply
    836,498x = 1,262,595 × 1,262,595
  4. Step 4: Simplify right side
    836,498x = 1,594,146,134,025
  5. Step 5: Solve for x
    x = 1,594,146,134,025/836,498
  6. Step 6: Final answer
    x = 1,905,738.13

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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.