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Finding the Third Proportional to 972,477.56 and 1,427,187.09

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Solution

The third proportional to 972,477.56 and 1,427,187.09 is: 2,094,508.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    972,477.56 : 1,427,187.09 = 1,427,187.09 : x
  2. Step 2: Convert to fraction form
    972,477.56/1,427,187.09 = 1,427,187.09/x
  3. Step 3: Cross multiply
    972,477.56x = 1,427,187.09 × 1,427,187.09
  4. Step 4: Simplify right side
    972,477.56x = 2,036,863,000,566.57
  5. Step 5: Solve for x
    x = 2,036,863,000,566.57/972,477.56
  6. Step 6: Final answer
    x = 2,094,508.99

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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.