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Finding the Third Proportional to 575,544 and 893,670

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Solution

The third proportional to 575,544 and 893,670 is: 1,387,636.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,544 : 893,670 = 893,670 : x
  2. Step 2: Convert to fraction form
    575,544/893,670 = 893,670/x
  3. Step 3: Cross multiply
    575,544x = 893,670 × 893,670
  4. Step 4: Simplify right side
    575,544x = 798,646,068,900
  5. Step 5: Solve for x
    x = 798,646,068,900/575,544
  6. Step 6: Final answer
    x = 1,387,636.86

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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.