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Finding the Third Proportional to 562,226 and 1,210,420

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Solution

The third proportional to 562,226 and 1,210,420 is: 2,605,921.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,226 : 1,210,420 = 1,210,420 : x
  2. Step 2: Convert to fraction form
    562,226/1,210,420 = 1,210,420/x
  3. Step 3: Cross multiply
    562,226x = 1,210,420 × 1,210,420
  4. Step 4: Simplify right side
    562,226x = 1,465,116,576,400
  5. Step 5: Solve for x
    x = 1,465,116,576,400/562,226
  6. Step 6: Final answer
    x = 2,605,921.06

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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.