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Finding the Third Proportional to 709,772 and 1,073,128

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Solution

The third proportional to 709,772 and 1,073,128 is: 1,622,498.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,772 : 1,073,128 = 1,073,128 : x
  2. Step 2: Convert to fraction form
    709,772/1,073,128 = 1,073,128/x
  3. Step 3: Cross multiply
    709,772x = 1,073,128 × 1,073,128
  4. Step 4: Simplify right side
    709,772x = 1,151,603,704,384
  5. Step 5: Solve for x
    x = 1,151,603,704,384/709,772
  6. Step 6: Final answer
    x = 1,622,498.08

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.