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Finding the Third Proportional to 583,509 and 1,256,298

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Solution

The third proportional to 583,509 and 1,256,298 is: 2,704,816.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,509 : 1,256,298 = 1,256,298 : x
  2. Step 2: Convert to fraction form
    583,509/1,256,298 = 1,256,298/x
  3. Step 3: Cross multiply
    583,509x = 1,256,298 × 1,256,298
  4. Step 4: Simplify right side
    583,509x = 1,578,284,664,804
  5. Step 5: Solve for x
    x = 1,578,284,664,804/583,509
  6. Step 6: Final answer
    x = 2,704,816.32

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.