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Finding the Third Proportional to 897,551 and 1,921,210

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Solution

The third proportional to 897,551 and 1,921,210 is: 4,112,354.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    897,551 : 1,921,210 = 1,921,210 : x
  2. Step 2: Convert to fraction form
    897,551/1,921,210 = 1,921,210/x
  3. Step 3: Cross multiply
    897,551x = 1,921,210 × 1,921,210
  4. Step 4: Simplify right side
    897,551x = 3,691,047,864,100
  5. Step 5: Solve for x
    x = 3,691,047,864,100/897,551
  6. Step 6: Final answer
    x = 4,112,354.47

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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.