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Finding the Third Proportional to 713,740 and 1,025,896

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Solution

The third proportional to 713,740 and 1,025,896 is: 1,474,574.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,740 : 1,025,896 = 1,025,896 : x
  2. Step 2: Convert to fraction form
    713,740/1,025,896 = 1,025,896/x
  3. Step 3: Cross multiply
    713,740x = 1,025,896 × 1,025,896
  4. Step 4: Simplify right side
    713,740x = 1,052,462,602,816
  5. Step 5: Solve for x
    x = 1,052,462,602,816/713,740
  6. Step 6: Final answer
    x = 1,474,574.22

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.