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Finding the Third Proportional to 897,170 and 1,895,428

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Solution

The third proportional to 897,170 and 1,895,428 is: 4,004,422.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    897,170 : 1,895,428 = 1,895,428 : x
  2. Step 2: Convert to fraction form
    897,170/1,895,428 = 1,895,428/x
  3. Step 3: Cross multiply
    897,170x = 1,895,428 × 1,895,428
  4. Step 4: Simplify right side
    897,170x = 3,592,647,303,184
  5. Step 5: Solve for x
    x = 3,592,647,303,184/897,170
  6. Step 6: Final answer
    x = 4,004,422.02

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.