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Finding the Third Proportional to 551,138 and 835,011

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Solution

The third proportional to 551,138 and 835,011 is: 1,265,097.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,138 : 835,011 = 835,011 : x
  2. Step 2: Convert to fraction form
    551,138/835,011 = 835,011/x
  3. Step 3: Cross multiply
    551,138x = 835,011 × 835,011
  4. Step 4: Simplify right side
    551,138x = 697,243,370,121
  5. Step 5: Solve for x
    x = 697,243,370,121/551,138
  6. Step 6: Final answer
    x = 1,265,097.62

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.