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Finding the Third Proportional to 835,683 and 1,291,861.50

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Solution

The third proportional to 835,683 and 1,291,861.50 is: 1,997,056.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    835,683 : 1,291,861.50 = 1,291,861.50 : x
  2. Step 2: Convert to fraction form
    835,683/1,291,861.50 = 1,291,861.50/x
  3. Step 3: Cross multiply
    835,683x = 1,291,861.50 × 1,291,861.50
  4. Step 4: Simplify right side
    835,683x = 1,668,906,135,182.25
  5. Step 5: Solve for x
    x = 1,668,906,135,182.25/835,683
  6. Step 6: Final answer
    x = 1,997,056.46

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.