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Finding the Third Proportional to 597,974 and 926,850

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Solution

The third proportional to 597,974 and 926,850 is: 1,436,602.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,974 : 926,850 = 926,850 : x
  2. Step 2: Convert to fraction form
    597,974/926,850 = 926,850/x
  3. Step 3: Cross multiply
    597,974x = 926,850 × 926,850
  4. Step 4: Simplify right side
    597,974x = 859,050,922,500
  5. Step 5: Solve for x
    x = 859,050,922,500/597,974
  6. Step 6: Final answer
    x = 1,436,602.47

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.