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Finding the Third Proportional to 562,228 and 1,210,424

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Solution

The third proportional to 562,228 and 1,210,424 is: 2,605,929.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,228 : 1,210,424 = 1,210,424 : x
  2. Step 2: Convert to fraction form
    562,228/1,210,424 = 1,210,424/x
  3. Step 3: Cross multiply
    562,228x = 1,210,424 × 1,210,424
  4. Step 4: Simplify right side
    562,228x = 1,465,126,259,776
  5. Step 5: Solve for x
    x = 1,465,126,259,776/562,228
  6. Step 6: Final answer
    x = 2,605,929.02

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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.