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Finding the Third Proportional to 683,634.94 and 1,490,281.88

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Solution

The third proportional to 683,634.94 and 1,490,281.88 is: 3,248,722.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,634.94 : 1,490,281.88 = 1,490,281.88 : x
  2. Step 2: Convert to fraction form
    683,634.94/1,490,281.88 = 1,490,281.88/x
  3. Step 3: Cross multiply
    683,634.94x = 1,490,281.88 × 1,490,281.88
  4. Step 4: Simplify right side
    683,634.94x = 2,220,940,066,953.52
  5. Step 5: Solve for x
    x = 2,220,940,066,953.52/683,634.94
  6. Step 6: Final answer
    x = 3,248,722.30

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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.