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Finding the Third Proportional to 897,651 and 1,964,214

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Solution

The third proportional to 897,651 and 1,964,214 is: 4,298,036.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    897,651 : 1,964,214 = 1,964,214 : x
  2. Step 2: Convert to fraction form
    897,651/1,964,214 = 1,964,214/x
  3. Step 3: Cross multiply
    897,651x = 1,964,214 × 1,964,214
  4. Step 4: Simplify right side
    897,651x = 3,858,136,637,796
  5. Step 5: Solve for x
    x = 3,858,136,637,796/897,651
  6. Step 6: Final answer
    x = 4,298,036.36

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Why These Related Problems?

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