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Finding the Third Proportional to 1,913,415 and 4,131,213

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Solution

The third proportional to 1,913,415 and 4,131,213 is: 8,919,612.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,913,415 : 4,131,213 = 4,131,213 : x
  2. Step 2: Convert to fraction form
    1,913,415/4,131,213 = 4,131,213/x
  3. Step 3: Cross multiply
    1,913,415x = 4,131,213 × 4,131,213
  4. Step 4: Simplify right side
    1,913,415x = 17,066,920,851,369
  5. Step 5: Solve for x
    x = 17,066,920,851,369/1,913,415
  6. Step 6: Final answer
    x = 8,919,612.76

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.