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Finding the Third Proportional to 562,761 and 1,232,253

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Solution

The third proportional to 562,761 and 1,232,253 is: 2,698,210.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,761 : 1,232,253 = 1,232,253 : x
  2. Step 2: Convert to fraction form
    562,761/1,232,253 = 1,232,253/x
  3. Step 3: Cross multiply
    562,761x = 1,232,253 × 1,232,253
  4. Step 4: Simplify right side
    562,761x = 1,518,447,456,009
  5. Step 5: Solve for x
    x = 1,518,447,456,009/562,761
  6. Step 6: Final answer
    x = 2,698,210.17

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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.