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Finding the Third Proportional to 2,852,678 and 4,431,369

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Solution

The third proportional to 2,852,678 and 4,431,369 is: 6,883,718.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,852,678 : 4,431,369 = 4,431,369 : x
  2. Step 2: Convert to fraction form
    2,852,678/4,431,369 = 4,431,369/x
  3. Step 3: Cross multiply
    2,852,678x = 4,431,369 × 4,431,369
  4. Step 4: Simplify right side
    2,852,678x = 19,637,031,214,161
  5. Step 5: Solve for x
    x = 19,637,031,214,161/2,852,678
  6. Step 6: Final answer
    x = 6,883,718.11

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.