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Finding the Third Proportional to 718,922 and 953,967

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Solution

The third proportional to 718,922 and 953,967 is: 1,265,857.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    718,922 : 953,967 = 953,967 : x
  2. Step 2: Convert to fraction form
    718,922/953,967 = 953,967/x
  3. Step 3: Cross multiply
    718,922x = 953,967 × 953,967
  4. Step 4: Simplify right side
    718,922x = 910,053,037,089
  5. Step 5: Solve for x
    x = 910,053,037,089/718,922
  6. Step 6: Final answer
    x = 1,265,857.82

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.