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Finding the Third Proportional to 849,258 and 2,001,969

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Solution

The third proportional to 849,258 and 2,001,969 is: 4,719,272.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    849,258 : 2,001,969 = 2,001,969 : x
  2. Step 2: Convert to fraction form
    849,258/2,001,969 = 2,001,969/x
  3. Step 3: Cross multiply
    849,258x = 2,001,969 × 2,001,969
  4. Step 4: Simplify right side
    849,258x = 4,007,879,876,961
  5. Step 5: Solve for x
    x = 4,007,879,876,961/849,258
  6. Step 6: Final answer
    x = 4,719,272.44

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.