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Finding the Third Proportional to 1,705,734 and 3,677,175

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Solution

The third proportional to 1,705,734 and 3,677,175 is: 7,927,153.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,705,734 : 3,677,175 = 3,677,175 : x
  2. Step 2: Convert to fraction form
    1,705,734/3,677,175 = 3,677,175/x
  3. Step 3: Cross multiply
    1,705,734x = 3,677,175 × 3,677,175
  4. Step 4: Simplify right side
    1,705,734x = 13,521,615,980,625
  5. Step 5: Solve for x
    x = 13,521,615,980,625/1,705,734
  6. Step 6: Final answer
    x = 7,927,153.93

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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.