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Finding the Third Proportional to 897,657 and 1,964,226

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Solution

The third proportional to 897,657 and 1,964,226 is: 4,298,060.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    897,657 : 1,964,226 = 1,964,226 : x
  2. Step 2: Convert to fraction form
    897,657/1,964,226 = 1,964,226/x
  3. Step 3: Cross multiply
    897,657x = 1,964,226 × 1,964,226
  4. Step 4: Simplify right side
    897,657x = 3,858,183,779,076
  5. Step 5: Solve for x
    x = 3,858,183,779,076/897,657
  6. Step 6: Final answer
    x = 4,298,060.15

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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.