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Finding the Third Proportional to 787,536 and 1,190,700

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Solution

The third proportional to 787,536 and 1,190,700 is: 1,800,256.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    787,536 : 1,190,700 = 1,190,700 : x
  2. Step 2: Convert to fraction form
    787,536/1,190,700 = 1,190,700/x
  3. Step 3: Cross multiply
    787,536x = 1,190,700 × 1,190,700
  4. Step 4: Simplify right side
    787,536x = 1,417,766,490,000
  5. Step 5: Solve for x
    x = 1,417,766,490,000/787,536
  6. Step 6: Final answer
    x = 1,800,256.10

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.