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Finding the Third Proportional to 583,202 and 1,276,132

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Solution

The third proportional to 583,202 and 1,276,132 is: 2,792,365.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,202 : 1,276,132 = 1,276,132 : x
  2. Step 2: Convert to fraction form
    583,202/1,276,132 = 1,276,132/x
  3. Step 3: Cross multiply
    583,202x = 1,276,132 × 1,276,132
  4. Step 4: Simplify right side
    583,202x = 1,628,512,881,424
  5. Step 5: Solve for x
    x = 1,628,512,881,424/583,202
  6. Step 6: Final answer
    x = 2,792,365.05

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.