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Finding the Third Proportional to 553,827 and 1,191,894

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Solution

The third proportional to 553,827 and 1,191,894 is: 2,565,081.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,827 : 1,191,894 = 1,191,894 : x
  2. Step 2: Convert to fraction form
    553,827/1,191,894 = 1,191,894/x
  3. Step 3: Cross multiply
    553,827x = 1,191,894 × 1,191,894
  4. Step 4: Simplify right side
    553,827x = 1,420,611,307,236
  5. Step 5: Solve for x
    x = 1,420,611,307,236/553,827
  6. Step 6: Final answer
    x = 2,565,081.35

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.