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Finding the Third Proportional to 473,877 and 1,036,324

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Solution

The third proportional to 473,877 and 1,036,324 is: 2,266,342.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,877 : 1,036,324 = 1,036,324 : x
  2. Step 2: Convert to fraction form
    473,877/1,036,324 = 1,036,324/x
  3. Step 3: Cross multiply
    473,877x = 1,036,324 × 1,036,324
  4. Step 4: Simplify right side
    473,877x = 1,073,967,432,976
  5. Step 5: Solve for x
    x = 1,073,967,432,976/473,877
  6. Step 6: Final answer
    x = 2,266,342.18

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.