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Finding the Third Proportional to 1,663,734 and 3,406,164

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Solution

The third proportional to 1,663,734 and 3,406,164 is: 6,973,442.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,663,734 : 3,406,164 = 3,406,164 : x
  2. Step 2: Convert to fraction form
    1,663,734/3,406,164 = 3,406,164/x
  3. Step 3: Cross multiply
    1,663,734x = 3,406,164 × 3,406,164
  4. Step 4: Simplify right side
    1,663,734x = 11,601,953,194,896
  5. Step 5: Solve for x
    x = 11,601,953,194,896/1,663,734
  6. Step 6: Final answer
    x = 6,973,442.39

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.