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Finding the Third Proportional to 1,688,714 and 3,446,308

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Solution

The third proportional to 1,688,714 and 3,446,308 is: 7,033,185.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,688,714 : 3,446,308 = 3,446,308 : x
  2. Step 2: Convert to fraction form
    1,688,714/3,446,308 = 3,446,308/x
  3. Step 3: Cross multiply
    1,688,714x = 3,446,308 × 3,446,308
  4. Step 4: Simplify right side
    1,688,714x = 11,877,038,830,864
  5. Step 5: Solve for x
    x = 11,877,038,830,864/1,688,714
  6. Step 6: Final answer
    x = 7,033,185.51

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.