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Finding the Third Proportional to 473,337 and 1,018,845

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Solution

The third proportional to 473,337 and 1,018,845 is: 2,193,036.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,337 : 1,018,845 = 1,018,845 : x
  2. Step 2: Convert to fraction form
    473,337/1,018,845 = 1,018,845/x
  3. Step 3: Cross multiply
    473,337x = 1,018,845 × 1,018,845
  4. Step 4: Simplify right side
    473,337x = 1,038,045,134,025
  5. Step 5: Solve for x
    x = 1,038,045,134,025/473,337
  6. Step 6: Final answer
    x = 2,193,036.11

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.