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Finding the Third Proportional to 461,536 and 1,001,796

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Solution

The third proportional to 461,536 and 1,001,796 is: 2,174,467.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,536 : 1,001,796 = 1,001,796 : x
  2. Step 2: Convert to fraction form
    461,536/1,001,796 = 1,001,796/x
  3. Step 3: Cross multiply
    461,536x = 1,001,796 × 1,001,796
  4. Step 4: Simplify right side
    461,536x = 1,003,595,225,616
  5. Step 5: Solve for x
    x = 1,003,595,225,616/461,536
  6. Step 6: Final answer
    x = 2,174,467.92

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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.