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Finding the Third Proportional to 507,708 and 1,102,896

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Solution

The third proportional to 507,708 and 1,102,896 is: 2,395,825.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,708 : 1,102,896 = 1,102,896 : x
  2. Step 2: Convert to fraction form
    507,708/1,102,896 = 1,102,896/x
  3. Step 3: Cross multiply
    507,708x = 1,102,896 × 1,102,896
  4. Step 4: Simplify right side
    507,708x = 1,216,379,586,816
  5. Step 5: Solve for x
    x = 1,216,379,586,816/507,708
  6. Step 6: Final answer
    x = 2,395,825.13

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.