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Finding the Third Proportional to 929,362.50 and 1,970,203.50

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Solution

The third proportional to 929,362.50 and 1,970,203.50 is: 4,176,736.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    929,362.50 : 1,970,203.50 = 1,970,203.50 : x
  2. Step 2: Convert to fraction form
    929,362.50/1,970,203.50 = 1,970,203.50/x
  3. Step 3: Cross multiply
    929,362.50x = 1,970,203.50 × 1,970,203.50
  4. Step 4: Simplify right side
    929,362.50x = 3,881,701,831,412.25
  5. Step 5: Solve for x
    x = 3,881,701,831,412.25/929,362.50
  6. Step 6: Final answer
    x = 4,176,736.02

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.