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Finding the Third Proportional to 597,257 and 1,299,486

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Solution

The third proportional to 597,257 and 1,299,486 is: 2,827,365.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,257 : 1,299,486 = 1,299,486 : x
  2. Step 2: Convert to fraction form
    597,257/1,299,486 = 1,299,486/x
  3. Step 3: Cross multiply
    597,257x = 1,299,486 × 1,299,486
  4. Step 4: Simplify right side
    597,257x = 1,688,663,864,196
  5. Step 5: Solve for x
    x = 1,688,663,864,196/597,257
  6. Step 6: Final answer
    x = 2,827,365.55

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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.