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Finding the Third Proportional to 897,560 and 1,921,226

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Solution

The third proportional to 897,560 and 1,921,226 is: 4,112,381.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    897,560 : 1,921,226 = 1,921,226 : x
  2. Step 2: Convert to fraction form
    897,560/1,921,226 = 1,921,226/x
  3. Step 3: Cross multiply
    897,560x = 1,921,226 × 1,921,226
  4. Step 4: Simplify right side
    897,560x = 3,691,109,343,076
  5. Step 5: Solve for x
    x = 3,691,109,343,076/897,560
  6. Step 6: Final answer
    x = 4,112,381.73

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.