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Finding the Third Proportional to 503,327 and 1,064,953

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Solution

The third proportional to 503,327 and 1,064,953 is: 2,253,256.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,327 : 1,064,953 = 1,064,953 : x
  2. Step 2: Convert to fraction form
    503,327/1,064,953 = 1,064,953/x
  3. Step 3: Cross multiply
    503,327x = 1,064,953 × 1,064,953
  4. Step 4: Simplify right side
    503,327x = 1,134,124,892,209
  5. Step 5: Solve for x
    x = 1,134,124,892,209/503,327
  6. Step 6: Final answer
    x = 2,253,256.61

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.