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Finding the Third Proportional to 957,742 and 1,428,307

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Solution

The third proportional to 957,742 and 1,428,307 is: 2,130,073.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    957,742 : 1,428,307 = 1,428,307 : x
  2. Step 2: Convert to fraction form
    957,742/1,428,307 = 1,428,307/x
  3. Step 3: Cross multiply
    957,742x = 1,428,307 × 1,428,307
  4. Step 4: Simplify right side
    957,742x = 2,040,060,886,249
  5. Step 5: Solve for x
    x = 2,040,060,886,249/957,742
  6. Step 6: Final answer
    x = 2,130,073.53

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.