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Finding the Third Proportional to 727,056 and 1,110,267

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Solution

The third proportional to 727,056 and 1,110,267 is: 1,695,457.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    727,056 : 1,110,267 = 1,110,267 : x
  2. Step 2: Convert to fraction form
    727,056/1,110,267 = 1,110,267/x
  3. Step 3: Cross multiply
    727,056x = 1,110,267 × 1,110,267
  4. Step 4: Simplify right side
    727,056x = 1,232,692,811,289
  5. Step 5: Solve for x
    x = 1,232,692,811,289/727,056
  6. Step 6: Final answer
    x = 1,695,457.86

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.