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Finding the Third Proportional to 575,921 and 793,896

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Solution

The third proportional to 575,921 and 793,896 is: 1,094,370.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,921 : 793,896 = 793,896 : x
  2. Step 2: Convert to fraction form
    575,921/793,896 = 793,896/x
  3. Step 3: Cross multiply
    575,921x = 793,896 × 793,896
  4. Step 4: Simplify right side
    575,921x = 630,270,858,816
  5. Step 5: Solve for x
    x = 630,270,858,816/575,921
  6. Step 6: Final answer
    x = 1,094,370.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.