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Finding the Third Proportional to 449,316 and 983,034

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Solution

The third proportional to 449,316 and 983,034 is: 2,150,726.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,316 : 983,034 = 983,034 : x
  2. Step 2: Convert to fraction form
    449,316/983,034 = 983,034/x
  3. Step 3: Cross multiply
    449,316x = 983,034 × 983,034
  4. Step 4: Simplify right side
    449,316x = 966,355,845,156
  5. Step 5: Solve for x
    x = 966,355,845,156/449,316
  6. Step 6: Final answer
    x = 2,150,726.54

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.