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Finding the Third Proportional to 583,972 and 1,261,160

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Solution

The third proportional to 583,972 and 1,261,160 is: 2,723,631.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,972 : 1,261,160 = 1,261,160 : x
  2. Step 2: Convert to fraction form
    583,972/1,261,160 = 1,261,160/x
  3. Step 3: Cross multiply
    583,972x = 1,261,160 × 1,261,160
  4. Step 4: Simplify right side
    583,972x = 1,590,524,545,600
  5. Step 5: Solve for x
    x = 1,590,524,545,600/583,972
  6. Step 6: Final answer
    x = 2,723,631.52

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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.