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Finding the Third Proportional to 562,268 and 1,224,368

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Solution

The third proportional to 562,268 and 1,224,368 is: 2,666,125.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,268 : 1,224,368 = 1,224,368 : x
  2. Step 2: Convert to fraction form
    562,268/1,224,368 = 1,224,368/x
  3. Step 3: Cross multiply
    562,268x = 1,224,368 × 1,224,368
  4. Step 4: Simplify right side
    562,268x = 1,499,076,999,424
  5. Step 5: Solve for x
    x = 1,499,076,999,424/562,268
  6. Step 6: Final answer
    x = 2,666,125.41

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.