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Finding the Third Proportional to 683,002.13 and 1,484,097.19

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Solution

The third proportional to 683,002.13 and 1,484,097.19 is: 3,224,798.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,002.13 : 1,484,097.19 = 1,484,097.19 : x
  2. Step 2: Convert to fraction form
    683,002.13/1,484,097.19 = 1,484,097.19/x
  3. Step 3: Cross multiply
    683,002.13x = 1,484,097.19 × 1,484,097.19
  4. Step 4: Simplify right side
    683,002.13x = 2,202,544,461,945.41
  5. Step 5: Solve for x
    x = 2,202,544,461,945.41/683,002.13
  6. Step 6: Final answer
    x = 3,224,798.84

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.