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Finding the Third Proportional to 471,846 and 1,026,633

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Solution

The third proportional to 471,846 and 1,026,633 is: 2,233,727.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,846 : 1,026,633 = 1,026,633 : x
  2. Step 2: Convert to fraction form
    471,846/1,026,633 = 1,026,633/x
  3. Step 3: Cross multiply
    471,846x = 1,026,633 × 1,026,633
  4. Step 4: Simplify right side
    471,846x = 1,053,975,316,689
  5. Step 5: Solve for x
    x = 1,053,975,316,689/471,846
  6. Step 6: Final answer
    x = 2,233,727.35

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.