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Finding the Third Proportional to 3,106,890 and 4,197,609

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Solution

The third proportional to 3,106,890 and 4,197,609 is: 5,671,240.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,106,890 : 4,197,609 = 4,197,609 : x
  2. Step 2: Convert to fraction form
    3,106,890/4,197,609 = 4,197,609/x
  3. Step 3: Cross multiply
    3,106,890x = 4,197,609 × 4,197,609
  4. Step 4: Simplify right side
    3,106,890x = 17,619,921,316,881
  5. Step 5: Solve for x
    x = 17,619,921,316,881/3,106,890
  6. Step 6: Final answer
    x = 5,671,240.80

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.