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Finding the Third Proportional to 582,749 and 900,003

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Solution

The third proportional to 582,749 and 900,003 is: 1,389,973.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,749 : 900,003 = 900,003 : x
  2. Step 2: Convert to fraction form
    582,749/900,003 = 900,003/x
  3. Step 3: Cross multiply
    582,749x = 900,003 × 900,003
  4. Step 4: Simplify right side
    582,749x = 810,005,400,009
  5. Step 5: Solve for x
    x = 810,005,400,009/582,749
  6. Step 6: Final answer
    x = 1,389,973.04

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.