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Finding the Third Proportional to 833,400 and 1,771,488

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Solution

The third proportional to 833,400 and 1,771,488 is: 3,765,502.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    833,400 : 1,771,488 = 1,771,488 : x
  2. Step 2: Convert to fraction form
    833,400/1,771,488 = 1,771,488/x
  3. Step 3: Cross multiply
    833,400x = 1,771,488 × 1,771,488
  4. Step 4: Simplify right side
    833,400x = 3,138,169,734,144
  5. Step 5: Solve for x
    x = 3,138,169,734,144/833,400
  6. Step 6: Final answer
    x = 3,765,502.44

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.