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Finding the Third Proportional to 4,085,168 and 6,465,688

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Solution

The third proportional to 4,085,168 and 6,465,688 is: 10,233,390.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,085,168 : 6,465,688 = 6,465,688 : x
  2. Step 2: Convert to fraction form
    4,085,168/6,465,688 = 6,465,688/x
  3. Step 3: Cross multiply
    4,085,168x = 6,465,688 × 6,465,688
  4. Step 4: Simplify right side
    4,085,168x = 41,805,121,313,344
  5. Step 5: Solve for x
    x = 41,805,121,313,344/4,085,168
  6. Step 6: Final answer
    x = 10,233,390.97

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.