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Finding the Third Proportional to 1,313,693 and 2,829,967

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Solution

The third proportional to 1,313,693 and 2,829,967 is: 6,096,335.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,313,693 : 2,829,967 = 2,829,967 : x
  2. Step 2: Convert to fraction form
    1,313,693/2,829,967 = 2,829,967/x
  3. Step 3: Cross multiply
    1,313,693x = 2,829,967 × 2,829,967
  4. Step 4: Simplify right side
    1,313,693x = 8,008,713,221,089
  5. Step 5: Solve for x
    x = 8,008,713,221,089/1,313,693
  6. Step 6: Final answer
    x = 6,096,335.46

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.