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Finding the Third Proportional to 921,198 and 1,999,746

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Solution

The third proportional to 921,198 and 1,999,746 is: 4,341,068.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    921,198 : 1,999,746 = 1,999,746 : x
  2. Step 2: Convert to fraction form
    921,198/1,999,746 = 1,999,746/x
  3. Step 3: Cross multiply
    921,198x = 1,999,746 × 1,999,746
  4. Step 4: Simplify right side
    921,198x = 3,998,984,064,516
  5. Step 5: Solve for x
    x = 3,998,984,064,516/921,198
  6. Step 6: Final answer
    x = 4,341,068.98

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.