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Finding the Third Proportional to 920,032 and 1,266,904

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Solution

The third proportional to 920,032 and 1,266,904 is: 1,744,554.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    920,032 : 1,266,904 = 1,266,904 : x
  2. Step 2: Convert to fraction form
    920,032/1,266,904 = 1,266,904/x
  3. Step 3: Cross multiply
    920,032x = 1,266,904 × 1,266,904
  4. Step 4: Simplify right side
    920,032x = 1,605,045,745,216
  5. Step 5: Solve for x
    x = 1,605,045,745,216/920,032
  6. Step 6: Final answer
    x = 1,744,554.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.