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Finding the Third Proportional to 575,178 and 889,686

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Solution

The third proportional to 575,178 and 889,686 is: 1,376,167.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,178 : 889,686 = 889,686 : x
  2. Step 2: Convert to fraction form
    575,178/889,686 = 889,686/x
  3. Step 3: Cross multiply
    575,178x = 889,686 × 889,686
  4. Step 4: Simplify right side
    575,178x = 791,541,178,596
  5. Step 5: Solve for x
    x = 791,541,178,596/575,178
  6. Step 6: Final answer
    x = 1,376,167.34

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.