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Finding the Third Proportional to 567,672 and 1,244,208

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Solution

The third proportional to 567,672 and 1,244,208 is: 2,727,021.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,672 : 1,244,208 = 1,244,208 : x
  2. Step 2: Convert to fraction form
    567,672/1,244,208 = 1,244,208/x
  3. Step 3: Cross multiply
    567,672x = 1,244,208 × 1,244,208
  4. Step 4: Simplify right side
    567,672x = 1,548,053,547,264
  5. Step 5: Solve for x
    x = 1,548,053,547,264/567,672
  6. Step 6: Final answer
    x = 2,727,021.14

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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.