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Finding the Third Proportional to 968,768 and 1,439,328

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Solution

The third proportional to 968,768 and 1,439,328 is: 2,138,453.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    968,768 : 1,439,328 = 1,439,328 : x
  2. Step 2: Convert to fraction form
    968,768/1,439,328 = 1,439,328/x
  3. Step 3: Cross multiply
    968,768x = 1,439,328 × 1,439,328
  4. Step 4: Simplify right side
    968,768x = 2,071,665,091,584
  5. Step 5: Solve for x
    x = 2,071,665,091,584/968,768
  6. Step 6: Final answer
    x = 2,138,453.26

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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.