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Finding the Third Proportional to 688,190 and 1,619,362

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Solution

The third proportional to 688,190 and 1,619,362 is: 3,810,478.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,190 : 1,619,362 = 1,619,362 : x
  2. Step 2: Convert to fraction form
    688,190/1,619,362 = 1,619,362/x
  3. Step 3: Cross multiply
    688,190x = 1,619,362 × 1,619,362
  4. Step 4: Simplify right side
    688,190x = 2,622,333,287,044
  5. Step 5: Solve for x
    x = 2,622,333,287,044/688,190
  6. Step 6: Final answer
    x = 3,810,478.63

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.