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Finding the Third Proportional to 583,962 and 1,259,076

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Solution

The third proportional to 583,962 and 1,259,076 is: 2,714,684.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,962 : 1,259,076 = 1,259,076 : x
  2. Step 2: Convert to fraction form
    583,962/1,259,076 = 1,259,076/x
  3. Step 3: Cross multiply
    583,962x = 1,259,076 × 1,259,076
  4. Step 4: Simplify right side
    583,962x = 1,585,272,373,776
  5. Step 5: Solve for x
    x = 1,585,272,373,776/583,962
  6. Step 6: Final answer
    x = 2,714,684.13

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