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Finding the Third Proportional to 449,060 and 972,863

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Solution

The third proportional to 449,060 and 972,863 is: 2,107,652.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,060 : 972,863 = 972,863 : x
  2. Step 2: Convert to fraction form
    449,060/972,863 = 972,863/x
  3. Step 3: Cross multiply
    449,060x = 972,863 × 972,863
  4. Step 4: Simplify right side
    449,060x = 946,462,416,769
  5. Step 5: Solve for x
    x = 946,462,416,769/449,060
  6. Step 6: Final answer
    x = 2,107,652.47

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.