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Finding the Third Proportional to 2,685,963.50 and 4,165,106

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Solution

The third proportional to 2,685,963.50 and 4,165,106 is: 6,458,802.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,685,963.50 : 4,165,106 = 4,165,106 : x
  2. Step 2: Convert to fraction form
    2,685,963.50/4,165,106 = 4,165,106/x
  3. Step 3: Cross multiply
    2,685,963.50x = 4,165,106 × 4,165,106
  4. Step 4: Simplify right side
    2,685,963.50x = 17,348,107,991,236
  5. Step 5: Solve for x
    x = 17,348,107,991,236/2,685,963.50
  6. Step 6: Final answer
    x = 6,458,802.58

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.