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Finding the Third Proportional to 832,257 and 1,257,134

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Solution

The third proportional to 832,257 and 1,257,134 is: 1,898,915.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    832,257 : 1,257,134 = 1,257,134 : x
  2. Step 2: Convert to fraction form
    832,257/1,257,134 = 1,257,134/x
  3. Step 3: Cross multiply
    832,257x = 1,257,134 × 1,257,134
  4. Step 4: Simplify right side
    832,257x = 1,580,385,893,956
  5. Step 5: Solve for x
    x = 1,580,385,893,956/832,257
  6. Step 6: Final answer
    x = 1,898,915.71

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.