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Finding the Third Proportional to 933,921 and 1,369,894

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Solution

The third proportional to 933,921 and 1,369,894 is: 2,009,387.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    933,921 : 1,369,894 = 1,369,894 : x
  2. Step 2: Convert to fraction form
    933,921/1,369,894 = 1,369,894/x
  3. Step 3: Cross multiply
    933,921x = 1,369,894 × 1,369,894
  4. Step 4: Simplify right side
    933,921x = 1,876,609,571,236
  5. Step 5: Solve for x
    x = 1,876,609,571,236/933,921
  6. Step 6: Final answer
    x = 2,009,387.92

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.