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Finding the Third Proportional to 539,818 and 857,787

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Solution

The third proportional to 539,818 and 857,787 is: 1,363,049.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,818 : 857,787 = 857,787 : x
  2. Step 2: Convert to fraction form
    539,818/857,787 = 857,787/x
  3. Step 3: Cross multiply
    539,818x = 857,787 × 857,787
  4. Step 4: Simplify right side
    539,818x = 735,798,537,369
  5. Step 5: Solve for x
    x = 735,798,537,369/539,818
  6. Step 6: Final answer
    x = 1,363,049.28

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.