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Finding the Third Proportional to 682,946 and 1,490,308

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Solution

The third proportional to 682,946 and 1,490,308 is: 3,252,113.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,946 : 1,490,308 = 1,490,308 : x
  2. Step 2: Convert to fraction form
    682,946/1,490,308 = 1,490,308/x
  3. Step 3: Cross multiply
    682,946x = 1,490,308 × 1,490,308
  4. Step 4: Simplify right side
    682,946x = 2,221,017,934,864
  5. Step 5: Solve for x
    x = 2,221,017,934,864/682,946
  6. Step 6: Final answer
    x = 3,252,113.54

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.