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Finding the Third Proportional to 709,816 and 1,557,036

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Solution

The third proportional to 709,816 and 1,557,036 is: 3,415,478.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,816 : 1,557,036 = 1,557,036 : x
  2. Step 2: Convert to fraction form
    709,816/1,557,036 = 1,557,036/x
  3. Step 3: Cross multiply
    709,816x = 1,557,036 × 1,557,036
  4. Step 4: Simplify right side
    709,816x = 2,424,361,105,296
  5. Step 5: Solve for x
    x = 2,424,361,105,296/709,816
  6. Step 6: Final answer
    x = 3,415,478.24

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.