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Finding the Third Proportional to 575,530 and 900,843

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Solution

The third proportional to 575,530 and 900,843 is: 1,410,036.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,530 : 900,843 = 900,843 : x
  2. Step 2: Convert to fraction form
    575,530/900,843 = 900,843/x
  3. Step 3: Cross multiply
    575,530x = 900,843 × 900,843
  4. Step 4: Simplify right side
    575,530x = 811,518,110,649
  5. Step 5: Solve for x
    x = 811,518,110,649/575,530
  6. Step 6: Final answer
    x = 1,410,036.16

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.