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Finding the Third Proportional to 787,942 and 1,153,964

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Solution

The third proportional to 787,942 and 1,153,964 is: 1,690,013.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    787,942 : 1,153,964 = 1,153,964 : x
  2. Step 2: Convert to fraction form
    787,942/1,153,964 = 1,153,964/x
  3. Step 3: Cross multiply
    787,942x = 1,153,964 × 1,153,964
  4. Step 4: Simplify right side
    787,942x = 1,331,632,913,296
  5. Step 5: Solve for x
    x = 1,331,632,913,296/787,942
  6. Step 6: Final answer
    x = 1,690,013.88

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.