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Finding the Third Proportional to 896,922 and 1,208,344.50

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Solution

The third proportional to 896,922 and 1,208,344.50 is: 1,627,896.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    896,922 : 1,208,344.50 = 1,208,344.50 : x
  2. Step 2: Convert to fraction form
    896,922/1,208,344.50 = 1,208,344.50/x
  3. Step 3: Cross multiply
    896,922x = 1,208,344.50 × 1,208,344.50
  4. Step 4: Simplify right side
    896,922x = 1,460,096,430,680.25
  5. Step 5: Solve for x
    x = 1,460,096,430,680.25/896,922
  6. Step 6: Final answer
    x = 1,627,896.77

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.