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Finding the Third Proportional to 2,559,264 and 5,600,640

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Solution

The third proportional to 2,559,264 and 5,600,640 is: 12,256,323.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,559,264 : 5,600,640 = 5,600,640 : x
  2. Step 2: Convert to fraction form
    2,559,264/5,600,640 = 5,600,640/x
  3. Step 3: Cross multiply
    2,559,264x = 5,600,640 × 5,600,640
  4. Step 4: Simplify right side
    2,559,264x = 31,367,168,409,600
  5. Step 5: Solve for x
    x = 31,367,168,409,600/2,559,264
  6. Step 6: Final answer
    x = 12,256,323.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.