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Finding the Third Proportional to 566,136.84 and 1,213,147.13

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Solution

The third proportional to 566,136.84 and 1,213,147.13 is: 2,599,594.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,136.84 : 1,213,147.13 = 1,213,147.13 : x
  2. Step 2: Convert to fraction form
    566,136.84/1,213,147.13 = 1,213,147.13/x
  3. Step 3: Cross multiply
    566,136.84x = 1,213,147.13 × 1,213,147.13
  4. Step 4: Simplify right side
    566,136.84x = 1,471,725,946,895.77
  5. Step 5: Solve for x
    x = 1,471,725,946,895.77/566,136.84
  6. Step 6: Final answer
    x = 2,599,594.01

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.