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Finding the Third Proportional to 461,511 and 1,001,754

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Solution

The third proportional to 461,511 and 1,001,754 is: 2,174,403.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,511 : 1,001,754 = 1,001,754 : x
  2. Step 2: Convert to fraction form
    461,511/1,001,754 = 1,001,754/x
  3. Step 3: Cross multiply
    461,511x = 1,001,754 × 1,001,754
  4. Step 4: Simplify right side
    461,511x = 1,003,511,076,516
  5. Step 5: Solve for x
    x = 1,003,511,076,516/461,511
  6. Step 6: Final answer
    x = 2,174,403.38

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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.