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Finding the Third Proportional to 832,253 and 1,257,128

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Solution

The third proportional to 832,253 and 1,257,128 is: 1,898,906.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    832,253 : 1,257,128 = 1,257,128 : x
  2. Step 2: Convert to fraction form
    832,253/1,257,128 = 1,257,128/x
  3. Step 3: Cross multiply
    832,253x = 1,257,128 × 1,257,128
  4. Step 4: Simplify right side
    832,253x = 1,580,370,808,384
  5. Step 5: Solve for x
    x = 1,580,370,808,384/832,253
  6. Step 6: Final answer
    x = 1,898,906.71

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Why These Related Problems?

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