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Finding the Third Proportional to 524,988 and 1,124,334

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Solution

The third proportional to 524,988 and 1,124,334 is: 2,407,915.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,988 : 1,124,334 = 1,124,334 : x
  2. Step 2: Convert to fraction form
    524,988/1,124,334 = 1,124,334/x
  3. Step 3: Cross multiply
    524,988x = 1,124,334 × 1,124,334
  4. Step 4: Simplify right side
    524,988x = 1,264,126,943,556
  5. Step 5: Solve for x
    x = 1,264,126,943,556/524,988
  6. Step 6: Final answer
    x = 2,407,915.88

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.