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Finding the Third Proportional to 583,056 and 1,257,984

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Solution

The third proportional to 583,056 and 1,257,984 is: 2,714,188.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,056 : 1,257,984 = 1,257,984 : x
  2. Step 2: Convert to fraction form
    583,056/1,257,984 = 1,257,984/x
  3. Step 3: Cross multiply
    583,056x = 1,257,984 × 1,257,984
  4. Step 4: Simplify right side
    583,056x = 1,582,523,744,256
  5. Step 5: Solve for x
    x = 1,582,523,744,256/583,056
  6. Step 6: Final answer
    x = 2,714,188.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.