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Finding the Third Proportional to 719,728.50 and 1,539,091.50

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Solution

The third proportional to 719,728.50 and 1,539,091.50 is: 3,291,244.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    719,728.50 : 1,539,091.50 = 1,539,091.50 : x
  2. Step 2: Convert to fraction form
    719,728.50/1,539,091.50 = 1,539,091.50/x
  3. Step 3: Cross multiply
    719,728.50x = 1,539,091.50 × 1,539,091.50
  4. Step 4: Simplify right side
    719,728.50x = 2,368,802,645,372.25
  5. Step 5: Solve for x
    x = 2,368,802,645,372.25/719,728.50
  6. Step 6: Final answer
    x = 3,291,244.75

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.