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Finding the Third Proportional to 1,969,592.50 and 4,284,275.25

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Solution

The third proportional to 1,969,592.50 and 4,284,275.25 is: 9,319,193.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,969,592.50 : 4,284,275.25 = 4,284,275.25 : x
  2. Step 2: Convert to fraction form
    1,969,592.50/4,284,275.25 = 4,284,275.25/x
  3. Step 3: Cross multiply
    1,969,592.50x = 4,284,275.25 × 4,284,275.25
  4. Step 4: Simplify right side
    1,969,592.50x = 18,355,014,417,762.56
  5. Step 5: Solve for x
    x = 18,355,014,417,762.56/1,969,592.50
  6. Step 6: Final answer
    x = 9,319,193.90

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.