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Finding the Third Proportional to 2,197,268.65 and 4,819,989.96

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Solution

The third proportional to 2,197,268.65 and 4,819,989.96 is: 10,573,264.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,197,268.65 : 4,819,989.96 = 4,819,989.96 : x
  2. Step 2: Convert to fraction form
    2,197,268.65/4,819,989.96 = 4,819,989.96/x
  3. Step 3: Cross multiply
    2,197,268.65x = 4,819,989.96 × 4,819,989.96
  4. Step 4: Simplify right side
    2,197,268.65x = 23,232,303,167,054.75
  5. Step 5: Solve for x
    x = 23,232,303,167,054.75/2,197,268.65
  6. Step 6: Final answer
    x = 10,573,264.76

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.