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Finding the Third Proportional to 986,938.17 and 1,446,189.19

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Solution

The third proportional to 986,938.17 and 1,446,189.19 is: 2,119,143.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    986,938.17 : 1,446,189.19 = 1,446,189.19 : x
  2. Step 2: Convert to fraction form
    986,938.17/1,446,189.19 = 1,446,189.19/x
  3. Step 3: Cross multiply
    986,938.17x = 1,446,189.19 × 1,446,189.19
  4. Step 4: Simplify right side
    986,938.17x = 2,091,463,166,041.91
  5. Step 5: Solve for x
    x = 2,091,463,166,041.91/986,938.17
  6. Step 6: Final answer
    x = 2,119,143.05

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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.