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Finding the Third Proportional to 473,182 and 1,032,009

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Solution

The third proportional to 473,182 and 1,032,009 is: 2,250,809.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,182 : 1,032,009 = 1,032,009 : x
  2. Step 2: Convert to fraction form
    473,182/1,032,009 = 1,032,009/x
  3. Step 3: Cross multiply
    473,182x = 1,032,009 × 1,032,009
  4. Step 4: Simplify right side
    473,182x = 1,065,042,576,081
  5. Step 5: Solve for x
    x = 1,065,042,576,081/473,182
  6. Step 6: Final answer
    x = 2,250,809.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.