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Finding the Third Proportional to 570,854 and 888,967

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Solution

The third proportional to 570,854 and 888,967 is: 1,384,351.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,854 : 888,967 = 888,967 : x
  2. Step 2: Convert to fraction form
    570,854/888,967 = 888,967/x
  3. Step 3: Cross multiply
    570,854x = 888,967 × 888,967
  4. Step 4: Simplify right side
    570,854x = 790,262,327,089
  5. Step 5: Solve for x
    x = 790,262,327,089/570,854
  6. Step 6: Final answer
    x = 1,384,351.04

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.