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Finding the Third Proportional to 621,594 and 959,850

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Solution

The third proportional to 621,594 and 959,850 is: 1,482,176.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    621,594 : 959,850 = 959,850 : x
  2. Step 2: Convert to fraction form
    621,594/959,850 = 959,850/x
  3. Step 3: Cross multiply
    621,594x = 959,850 × 959,850
  4. Step 4: Simplify right side
    621,594x = 921,312,022,500
  5. Step 5: Solve for x
    x = 921,312,022,500/621,594
  6. Step 6: Final answer
    x = 1,482,176.51

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.