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Finding the Third Proportional to 717,042 and 1,100,631.50

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Solution

The third proportional to 717,042 and 1,100,631.50 is: 1,689,426.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    717,042 : 1,100,631.50 = 1,100,631.50 : x
  2. Step 2: Convert to fraction form
    717,042/1,100,631.50 = 1,100,631.50/x
  3. Step 3: Cross multiply
    717,042x = 1,100,631.50 × 1,100,631.50
  4. Step 4: Simplify right side
    717,042x = 1,211,389,698,792.25
  5. Step 5: Solve for x
    x = 1,211,389,698,792.25/717,042
  6. Step 6: Final answer
    x = 1,689,426.42

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Why These Related Problems?

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