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Finding the Third Proportional to 1,663,888 and 3,406,628

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Solution

The third proportional to 1,663,888 and 3,406,628 is: 6,974,696.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,663,888 : 3,406,628 = 3,406,628 : x
  2. Step 2: Convert to fraction form
    1,663,888/3,406,628 = 3,406,628/x
  3. Step 3: Cross multiply
    1,663,888x = 3,406,628 × 3,406,628
  4. Step 4: Simplify right side
    1,663,888x = 11,605,114,330,384
  5. Step 5: Solve for x
    x = 11,605,114,330,384/1,663,888
  6. Step 6: Final answer
    x = 6,974,696.81

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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.