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Finding the Third Proportional to 2,051,507.25 and 4,748,873.06

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Solution

The third proportional to 2,051,507.25 and 4,748,873.06 is: 10,992,793.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,051,507.25 : 4,748,873.06 = 4,748,873.06 : x
  2. Step 2: Convert to fraction form
    2,051,507.25/4,748,873.06 = 4,748,873.06/x
  3. Step 3: Cross multiply
    2,051,507.25x = 4,748,873.06 × 4,748,873.06
  4. Step 4: Simplify right side
    2,051,507.25x = 22,551,795,363,738.13
  5. Step 5: Solve for x
    x = 22,551,795,363,738.13/2,051,507.25
  6. Step 6: Final answer
    x = 10,992,793.40

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.