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Finding the Third Proportional to 824,056 and 1,275,809

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Solution

The third proportional to 824,056 and 1,275,809 is: 1,975,216.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    824,056 : 1,275,809 = 1,275,809 : x
  2. Step 2: Convert to fraction form
    824,056/1,275,809 = 1,275,809/x
  3. Step 3: Cross multiply
    824,056x = 1,275,809 × 1,275,809
  4. Step 4: Simplify right side
    824,056x = 1,627,688,604,481
  5. Step 5: Solve for x
    x = 1,627,688,604,481/824,056
  6. Step 6: Final answer
    x = 1,975,216.01

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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.