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Finding the Third Proportional to 544,090 and 857,868

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Solution

The third proportional to 544,090 and 857,868 is: 1,352,602.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    544,090 : 857,868 = 857,868 : x
  2. Step 2: Convert to fraction form
    544,090/857,868 = 857,868/x
  3. Step 3: Cross multiply
    544,090x = 857,868 × 857,868
  4. Step 4: Simplify right side
    544,090x = 735,937,505,424
  5. Step 5: Solve for x
    x = 735,937,505,424/544,090
  6. Step 6: Final answer
    x = 1,352,602.52

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.