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Finding the Third Proportional to 1,696,408 and 3,658,516

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Solution

The third proportional to 1,696,408 and 3,658,516 is: 7,890,047.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,696,408 : 3,658,516 = 3,658,516 : x
  2. Step 2: Convert to fraction form
    1,696,408/3,658,516 = 3,658,516/x
  3. Step 3: Cross multiply
    1,696,408x = 3,658,516 × 3,658,516
  4. Step 4: Simplify right side
    1,696,408x = 13,384,739,322,256
  5. Step 5: Solve for x
    x = 13,384,739,322,256/1,696,408
  6. Step 6: Final answer
    x = 7,890,047.28

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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.