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Finding the Third Proportional to 956,534 and 1,464,933

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Solution

The third proportional to 956,534 and 1,464,933 is: 2,243,546.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    956,534 : 1,464,933 = 1,464,933 : x
  2. Step 2: Convert to fraction form
    956,534/1,464,933 = 1,464,933/x
  3. Step 3: Cross multiply
    956,534x = 1,464,933 × 1,464,933
  4. Step 4: Simplify right side
    956,534x = 2,146,028,694,489
  5. Step 5: Solve for x
    x = 2,146,028,694,489/956,534
  6. Step 6: Final answer
    x = 2,243,546.70

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.