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Finding the Third Proportional to 583,956 and 1,255,202

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Solution

The third proportional to 583,956 and 1,255,202 is: 2,698,032.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,956 : 1,255,202 = 1,255,202 : x
  2. Step 2: Convert to fraction form
    583,956/1,255,202 = 1,255,202/x
  3. Step 3: Cross multiply
    583,956x = 1,255,202 × 1,255,202
  4. Step 4: Simplify right side
    583,956x = 1,575,532,060,804
  5. Step 5: Solve for x
    x = 1,575,532,060,804/583,956
  6. Step 6: Final answer
    x = 2,698,032.15

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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.