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Finding the Third Proportional to 1,997,838 and 4,314,897

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Solution

The third proportional to 1,997,838 and 4,314,897 is: 9,319,242.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,997,838 : 4,314,897 = 4,314,897 : x
  2. Step 2: Convert to fraction form
    1,997,838/4,314,897 = 4,314,897/x
  3. Step 3: Cross multiply
    1,997,838x = 4,314,897 × 4,314,897
  4. Step 4: Simplify right side
    1,997,838x = 18,618,336,120,609
  5. Step 5: Solve for x
    x = 18,618,336,120,609/1,997,838
  6. Step 6: Final answer
    x = 9,319,242.16

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.