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Finding the Third Proportional to 1,580,544 and 2,258,564

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Solution

The third proportional to 1,580,544 and 2,258,564 is: 3,227,440.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,580,544 : 2,258,564 = 2,258,564 : x
  2. Step 2: Convert to fraction form
    1,580,544/2,258,564 = 2,258,564/x
  3. Step 3: Cross multiply
    1,580,544x = 2,258,564 × 2,258,564
  4. Step 4: Simplify right side
    1,580,544x = 5,101,111,342,096
  5. Step 5: Solve for x
    x = 5,101,111,342,096/1,580,544
  6. Step 6: Final answer
    x = 3,227,440.26

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.