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Finding the Third Proportional to 1,798,421 and 3,763,109

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Solution

The third proportional to 1,798,421 and 3,763,109 is: 7,874,123.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,798,421 : 3,763,109 = 3,763,109 : x
  2. Step 2: Convert to fraction form
    1,798,421/3,763,109 = 3,763,109/x
  3. Step 3: Cross multiply
    1,798,421x = 3,763,109 × 3,763,109
  4. Step 4: Simplify right side
    1,798,421x = 14,160,989,345,881
  5. Step 5: Solve for x
    x = 14,160,989,345,881/1,798,421
  6. Step 6: Final answer
    x = 7,874,123.66

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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.