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Finding the Third Proportional to 736,778.53 and 1,585,602.84

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Solution

The third proportional to 736,778.53 and 1,585,602.84 is: 3,412,336.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    736,778.53 : 1,585,602.84 = 1,585,602.84 : x
  2. Step 2: Convert to fraction form
    736,778.53/1,585,602.84 = 1,585,602.84/x
  3. Step 3: Cross multiply
    736,778.53x = 1,585,602.84 × 1,585,602.84
  4. Step 4: Simplify right side
    736,778.53x = 2,514,136,378,108.09
  5. Step 5: Solve for x
    x = 2,514,136,378,108.09/736,778.53
  6. Step 6: Final answer
    x = 3,412,336.64

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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.