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Finding the Third Proportional to 786,468 and 1,183,590

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Solution

The third proportional to 786,468 and 1,183,590 is: 1,781,236.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    786,468 : 1,183,590 = 1,183,590 : x
  2. Step 2: Convert to fraction form
    786,468/1,183,590 = 1,183,590/x
  3. Step 3: Cross multiply
    786,468x = 1,183,590 × 1,183,590
  4. Step 4: Simplify right side
    786,468x = 1,400,885,288,100
  5. Step 5: Solve for x
    x = 1,400,885,288,100/786,468
  6. Step 6: Final answer
    x = 1,781,236.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.