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Finding the Third Proportional to 1,583,544 and 3,452,895

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Solution

The third proportional to 1,583,544 and 3,452,895 is: 7,528,988.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,583,544 : 3,452,895 = 3,452,895 : x
  2. Step 2: Convert to fraction form
    1,583,544/3,452,895 = 3,452,895/x
  3. Step 3: Cross multiply
    1,583,544x = 3,452,895 × 3,452,895
  4. Step 4: Simplify right side
    1,583,544x = 11,922,483,881,025
  5. Step 5: Solve for x
    x = 11,922,483,881,025/1,583,544
  6. Step 6: Final answer
    x = 7,528,988.07

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.