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Finding the Third Proportional to 729,254 and 1,103,942

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Solution

The third proportional to 729,254 and 1,103,942 is: 1,671,143.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    729,254 : 1,103,942 = 1,103,942 : x
  2. Step 2: Convert to fraction form
    729,254/1,103,942 = 1,103,942/x
  3. Step 3: Cross multiply
    729,254x = 1,103,942 × 1,103,942
  4. Step 4: Simplify right side
    729,254x = 1,218,687,939,364
  5. Step 5: Solve for x
    x = 1,218,687,939,364/729,254
  6. Step 6: Final answer
    x = 1,671,143.30

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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.