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Finding the Third Proportional to 2,038,873 and 4,432,178

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Solution

The third proportional to 2,038,873 and 4,432,178 is: 9,634,833.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,038,873 : 4,432,178 = 4,432,178 : x
  2. Step 2: Convert to fraction form
    2,038,873/4,432,178 = 4,432,178/x
  3. Step 3: Cross multiply
    2,038,873x = 4,432,178 × 4,432,178
  4. Step 4: Simplify right side
    2,038,873x = 19,644,201,823,684
  5. Step 5: Solve for x
    x = 19,644,201,823,684/2,038,873
  6. Step 6: Final answer
    x = 9,634,833.47

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.