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Finding the Third Proportional to 532,871 and 1,115,006

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Solution

The third proportional to 532,871 and 1,115,006 is: 2,333,094.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,871 : 1,115,006 = 1,115,006 : x
  2. Step 2: Convert to fraction form
    532,871/1,115,006 = 1,115,006/x
  3. Step 3: Cross multiply
    532,871x = 1,115,006 × 1,115,006
  4. Step 4: Simplify right side
    532,871x = 1,243,238,380,036
  5. Step 5: Solve for x
    x = 1,243,238,380,036/532,871
  6. Step 6: Final answer
    x = 2,333,094.46

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.