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Finding the Third Proportional to 897,724.50 and 1,919,865

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Solution

The third proportional to 897,724.50 and 1,919,865 is: 4,105,804.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    897,724.50 : 1,919,865 = 1,919,865 : x
  2. Step 2: Convert to fraction form
    897,724.50/1,919,865 = 1,919,865/x
  3. Step 3: Cross multiply
    897,724.50x = 1,919,865 × 1,919,865
  4. Step 4: Simplify right side
    897,724.50x = 3,685,881,618,225
  5. Step 5: Solve for x
    x = 3,685,881,618,225/897,724.50
  6. Step 6: Final answer
    x = 4,105,804.86

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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.