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Finding the Third Proportional to 577,534 and 888,854

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Solution

The third proportional to 577,534 and 888,854 is: 1,367,991.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,534 : 888,854 = 888,854 : x
  2. Step 2: Convert to fraction form
    577,534/888,854 = 888,854/x
  3. Step 3: Cross multiply
    577,534x = 888,854 × 888,854
  4. Step 4: Simplify right side
    577,534x = 790,061,433,316
  5. Step 5: Solve for x
    x = 790,061,433,316/577,534
  6. Step 6: Final answer
    x = 1,367,991.21

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.