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Finding the Third Proportional to 936,684 and 1,453,076

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Solution

The third proportional to 936,684 and 1,453,076 is: 2,254,153.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    936,684 : 1,453,076 = 1,453,076 : x
  2. Step 2: Convert to fraction form
    936,684/1,453,076 = 1,453,076/x
  3. Step 3: Cross multiply
    936,684x = 1,453,076 × 1,453,076
  4. Step 4: Simplify right side
    936,684x = 2,111,429,861,776
  5. Step 5: Solve for x
    x = 2,111,429,861,776/936,684
  6. Step 6: Final answer
    x = 2,254,153.87

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.