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Finding the Third Proportional to 1,677,564 and 3,590,228

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Solution

The third proportional to 1,677,564 and 3,590,228 is: 7,683,603.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,677,564 : 3,590,228 = 3,590,228 : x
  2. Step 2: Convert to fraction form
    1,677,564/3,590,228 = 3,590,228/x
  3. Step 3: Cross multiply
    1,677,564x = 3,590,228 × 3,590,228
  4. Step 4: Simplify right side
    1,677,564x = 12,889,737,091,984
  5. Step 5: Solve for x
    x = 12,889,737,091,984/1,677,564
  6. Step 6: Final answer
    x = 7,683,603.78

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.