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Finding the Third Proportional to 643,714 and 973,856

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Solution

The third proportional to 643,714 and 973,856 is: 1,473,318.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,714 : 973,856 = 973,856 : x
  2. Step 2: Convert to fraction form
    643,714/973,856 = 973,856/x
  3. Step 3: Cross multiply
    643,714x = 973,856 × 973,856
  4. Step 4: Simplify right side
    643,714x = 948,395,508,736
  5. Step 5: Solve for x
    x = 948,395,508,736/643,714
  6. Step 6: Final answer
    x = 1,473,318.13

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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.