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Finding the Third Proportional to 2,190,921.75 and 4,731,763.50

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Solution

The third proportional to 2,190,921.75 and 4,731,763.50 is: 10,219,253.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,190,921.75 : 4,731,763.50 = 4,731,763.50 : x
  2. Step 2: Convert to fraction form
    2,190,921.75/4,731,763.50 = 4,731,763.50/x
  3. Step 3: Cross multiply
    2,190,921.75x = 4,731,763.50 × 4,731,763.50
  4. Step 4: Simplify right side
    2,190,921.75x = 22,389,585,819,932.25
  5. Step 5: Solve for x
    x = 22,389,585,819,932.25/2,190,921.75
  6. Step 6: Final answer
    x = 10,219,253.98

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.