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Finding the Third Proportional to 562,054 and 857,086

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Solution

The third proportional to 562,054 and 857,086 is: 1,306,985.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,054 : 857,086 = 857,086 : x
  2. Step 2: Convert to fraction form
    562,054/857,086 = 857,086/x
  3. Step 3: Cross multiply
    562,054x = 857,086 × 857,086
  4. Step 4: Simplify right side
    562,054x = 734,596,411,396
  5. Step 5: Solve for x
    x = 734,596,411,396/562,054
  6. Step 6: Final answer
    x = 1,306,985.47

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.