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Finding the Third Proportional to 383,620 and 896,014

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Solution

The third proportional to 383,620 and 896,014 is: 2,092,803.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,620 : 896,014 = 896,014 : x
  2. Step 2: Convert to fraction form
    383,620/896,014 = 896,014/x
  3. Step 3: Cross multiply
    383,620x = 896,014 × 896,014
  4. Step 4: Simplify right side
    383,620x = 802,841,088,196
  5. Step 5: Solve for x
    x = 802,841,088,196/383,620
  6. Step 6: Final answer
    x = 2,092,803.00

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.