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Finding the Third Proportional to 473,032 and 1,051,036

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Solution

The third proportional to 473,032 and 1,051,036 is: 2,335,310.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,032 : 1,051,036 = 1,051,036 : x
  2. Step 2: Convert to fraction form
    473,032/1,051,036 = 1,051,036/x
  3. Step 3: Cross multiply
    473,032x = 1,051,036 × 1,051,036
  4. Step 4: Simplify right side
    473,032x = 1,104,676,673,296
  5. Step 5: Solve for x
    x = 1,104,676,673,296/473,032
  6. Step 6: Final answer
    x = 2,335,310.66

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.