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Finding the Third Proportional to 849,563 and 1,286,684

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Solution

The third proportional to 849,563 and 1,286,684 is: 1,948,714.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    849,563 : 1,286,684 = 1,286,684 : x
  2. Step 2: Convert to fraction form
    849,563/1,286,684 = 1,286,684/x
  3. Step 3: Cross multiply
    849,563x = 1,286,684 × 1,286,684
  4. Step 4: Simplify right side
    849,563x = 1,655,555,715,856
  5. Step 5: Solve for x
    x = 1,655,555,715,856/849,563
  6. Step 6: Final answer
    x = 1,948,714.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.