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Finding the Third Proportional to 897,410 and 1,920,962

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Solution

The third proportional to 897,410 and 1,920,962 is: 4,111,938.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    897,410 : 1,920,962 = 1,920,962 : x
  2. Step 2: Convert to fraction form
    897,410/1,920,962 = 1,920,962/x
  3. Step 3: Cross multiply
    897,410x = 1,920,962 × 1,920,962
  4. Step 4: Simplify right side
    897,410x = 3,690,095,005,444
  5. Step 5: Solve for x
    x = 3,690,095,005,444/897,410
  6. Step 6: Final answer
    x = 4,111,938.81

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Why These Related Problems?

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