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Finding the Third Proportional to 897,768 and 1,921,644

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Solution

The third proportional to 897,768 and 1,921,644 is: 4,113,218.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    897,768 : 1,921,644 = 1,921,644 : x
  2. Step 2: Convert to fraction form
    897,768/1,921,644 = 1,921,644/x
  3. Step 3: Cross multiply
    897,768x = 1,921,644 × 1,921,644
  4. Step 4: Simplify right side
    897,768x = 3,692,715,662,736
  5. Step 5: Solve for x
    x = 3,692,715,662,736/897,768
  6. Step 6: Final answer
    x = 4,113,218.18

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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.