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Finding the Third Proportional to 616,816 and 1,427,840

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Solution

The third proportional to 616,816 and 1,427,840 is: 3,305,243.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,816 : 1,427,840 = 1,427,840 : x
  2. Step 2: Convert to fraction form
    616,816/1,427,840 = 1,427,840/x
  3. Step 3: Cross multiply
    616,816x = 1,427,840 × 1,427,840
  4. Step 4: Simplify right side
    616,816x = 2,038,727,065,600
  5. Step 5: Solve for x
    x = 2,038,727,065,600/616,816
  6. Step 6: Final answer
    x = 3,305,243.49

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.