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Finding the Third Proportional to 972,483.75 and 1,427,195.63

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Solution

The third proportional to 972,483.75 and 1,427,195.63 is: 2,094,520.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    972,483.75 : 1,427,195.63 = 1,427,195.63 : x
  2. Step 2: Convert to fraction form
    972,483.75/1,427,195.63 = 1,427,195.63/x
  3. Step 3: Cross multiply
    972,483.75x = 1,427,195.63 × 1,427,195.63
  4. Step 4: Simplify right side
    972,483.75x = 2,036,887,352,019.14
  5. Step 5: Solve for x
    x = 2,036,887,352,019.14/972,483.75
  6. Step 6: Final answer
    x = 2,094,520.71

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.