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Finding the Third Proportional to 1,656,398 and 3,503,774

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Solution

The third proportional to 1,656,398 and 3,503,774 is: 7,411,523.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,656,398 : 3,503,774 = 3,503,774 : x
  2. Step 2: Convert to fraction form
    1,656,398/3,503,774 = 3,503,774/x
  3. Step 3: Cross multiply
    1,656,398x = 3,503,774 × 3,503,774
  4. Step 4: Simplify right side
    1,656,398x = 12,276,432,243,076
  5. Step 5: Solve for x
    x = 12,276,432,243,076/1,656,398
  6. Step 6: Final answer
    x = 7,411,523.22

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.