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Finding the Third Proportional to 560,272 and 1,229,376

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Solution

The third proportional to 560,272 and 1,229,376 is: 2,697,556.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,272 : 1,229,376 = 1,229,376 : x
  2. Step 2: Convert to fraction form
    560,272/1,229,376 = 1,229,376/x
  3. Step 3: Cross multiply
    560,272x = 1,229,376 × 1,229,376
  4. Step 4: Simplify right side
    560,272x = 1,511,365,349,376
  5. Step 5: Solve for x
    x = 1,511,365,349,376/560,272
  6. Step 6: Final answer
    x = 2,697,556.45

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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.