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Finding the Third Proportional to 1,762,668 and 3,678,588

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Solution

The third proportional to 1,762,668 and 3,678,588 is: 7,677,004.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,762,668 : 3,678,588 = 3,678,588 : x
  2. Step 2: Convert to fraction form
    1,762,668/3,678,588 = 3,678,588/x
  3. Step 3: Cross multiply
    1,762,668x = 3,678,588 × 3,678,588
  4. Step 4: Simplify right side
    1,762,668x = 13,532,009,673,744
  5. Step 5: Solve for x
    x = 13,532,009,673,744/1,762,668
  6. Step 6: Final answer
    x = 7,677,004.22

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.