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Finding the Third Proportional to 826,727.50 and 1,771,553

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Solution

The third proportional to 826,727.50 and 1,771,553 is: 3,796,172.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    826,727.50 : 1,771,553 = 1,771,553 : x
  2. Step 2: Convert to fraction form
    826,727.50/1,771,553 = 1,771,553/x
  3. Step 3: Cross multiply
    826,727.50x = 1,771,553 × 1,771,553
  4. Step 4: Simplify right side
    826,727.50x = 3,138,400,031,809
  5. Step 5: Solve for x
    x = 3,138,400,031,809/826,727.50
  6. Step 6: Final answer
    x = 3,796,172.30

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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.