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Finding the Third Proportional to 832,271 and 1,257,156

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Solution

The third proportional to 832,271 and 1,257,156 is: 1,898,950.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    832,271 : 1,257,156 = 1,257,156 : x
  2. Step 2: Convert to fraction form
    832,271/1,257,156 = 1,257,156/x
  3. Step 3: Cross multiply
    832,271x = 1,257,156 × 1,257,156
  4. Step 4: Simplify right side
    832,271x = 1,580,441,208,336
  5. Step 5: Solve for x
    x = 1,580,441,208,336/832,271
  6. Step 6: Final answer
    x = 1,898,950.23

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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.