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Finding the Third Proportional to 1,735,532 and 3,769,582

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Solution

The third proportional to 1,735,532 and 3,769,582 is: 8,187,546.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,735,532 : 3,769,582 = 3,769,582 : x
  2. Step 2: Convert to fraction form
    1,735,532/3,769,582 = 3,769,582/x
  3. Step 3: Cross multiply
    1,735,532x = 3,769,582 × 3,769,582
  4. Step 4: Simplify right side
    1,735,532x = 14,209,748,454,724
  5. Step 5: Solve for x
    x = 14,209,748,454,724/1,735,532
  6. Step 6: Final answer
    x = 8,187,546.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.