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Finding the Third Proportional to 972,000 and 2,120,870.25

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Solution

The third proportional to 972,000 and 2,120,870.25 is: 4,627,665.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    972,000 : 2,120,870.25 = 2,120,870.25 : x
  2. Step 2: Convert to fraction form
    972,000/2,120,870.25 = 2,120,870.25/x
  3. Step 3: Cross multiply
    972,000x = 2,120,870.25 × 2,120,870.25
  4. Step 4: Simplify right side
    972,000x = 4,498,090,617,335.06
  5. Step 5: Solve for x
    x = 4,498,090,617,335.06/972,000
  6. Step 6: Final answer
    x = 4,627,665.24

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