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Finding the Third Proportional to 2,097,349 and 4,594,864

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Solution

The third proportional to 2,097,349 and 4,594,864 is: 10,066,410.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,097,349 : 4,594,864 = 4,594,864 : x
  2. Step 2: Convert to fraction form
    2,097,349/4,594,864 = 4,594,864/x
  3. Step 3: Cross multiply
    2,097,349x = 4,594,864 × 4,594,864
  4. Step 4: Simplify right side
    2,097,349x = 21,112,775,178,496
  5. Step 5: Solve for x
    x = 21,112,775,178,496/2,097,349
  6. Step 6: Final answer
    x = 10,066,410.11

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.