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Finding the Third Proportional to 473,185 and 1,032,015

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Solution

The third proportional to 473,185 and 1,032,015 is: 2,250,821.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,185 : 1,032,015 = 1,032,015 : x
  2. Step 2: Convert to fraction form
    473,185/1,032,015 = 1,032,015/x
  3. Step 3: Cross multiply
    473,185x = 1,032,015 × 1,032,015
  4. Step 4: Simplify right side
    473,185x = 1,065,054,960,225
  5. Step 5: Solve for x
    x = 1,065,054,960,225/473,185
  6. Step 6: Final answer
    x = 2,250,821.48

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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.