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Finding the Third Proportional to 4,157,640 and 6,219,513

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Solution

The third proportional to 4,157,640 and 6,219,513 is: 9,303,918.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,157,640 : 6,219,513 = 6,219,513 : x
  2. Step 2: Convert to fraction form
    4,157,640/6,219,513 = 6,219,513/x
  3. Step 3: Cross multiply
    4,157,640x = 6,219,513 × 6,219,513
  4. Step 4: Simplify right side
    4,157,640x = 38,682,341,957,169
  5. Step 5: Solve for x
    x = 38,682,341,957,169/4,157,640
  6. Step 6: Final answer
    x = 9,303,918.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.