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Finding the Third Proportional to 763,587 and 1,725,175.50

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Solution

The third proportional to 763,587 and 1,725,175.50 is: 3,897,696.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    763,587 : 1,725,175.50 = 1,725,175.50 : x
  2. Step 2: Convert to fraction form
    763,587/1,725,175.50 = 1,725,175.50/x
  3. Step 3: Cross multiply
    763,587x = 1,725,175.50 × 1,725,175.50
  4. Step 4: Simplify right side
    763,587x = 2,976,230,505,800.25
  5. Step 5: Solve for x
    x = 2,976,230,505,800.25/763,587
  6. Step 6: Final answer
    x = 3,897,696.67

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.