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Finding the Third Proportional to 3,823,712 and 5,869,248

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Solution

The third proportional to 3,823,712 and 5,869,248 is: 9,009,065.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,823,712 : 5,869,248 = 5,869,248 : x
  2. Step 2: Convert to fraction form
    3,823,712/5,869,248 = 5,869,248/x
  3. Step 3: Cross multiply
    3,823,712x = 5,869,248 × 5,869,248
  4. Step 4: Simplify right side
    3,823,712x = 34,448,072,085,504
  5. Step 5: Solve for x
    x = 34,448,072,085,504/3,823,712
  6. Step 6: Final answer
    x = 9,009,065.56

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.