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Finding the Third Proportional to 554,514 and 893,019

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Solution

The third proportional to 554,514 and 893,019 is: 1,438,165.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    554,514 : 893,019 = 893,019 : x
  2. Step 2: Convert to fraction form
    554,514/893,019 = 893,019/x
  3. Step 3: Cross multiply
    554,514x = 893,019 × 893,019
  4. Step 4: Simplify right side
    554,514x = 797,482,934,361
  5. Step 5: Solve for x
    x = 797,482,934,361/554,514
  6. Step 6: Final answer
    x = 1,438,165.55

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.