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Finding the Third Proportional to 473,426 and 1,029,796

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Solution

The third proportional to 473,426 and 1,029,796 is: 2,240,011.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,426 : 1,029,796 = 1,029,796 : x
  2. Step 2: Convert to fraction form
    473,426/1,029,796 = 1,029,796/x
  3. Step 3: Cross multiply
    473,426x = 1,029,796 × 1,029,796
  4. Step 4: Simplify right side
    473,426x = 1,060,479,801,616
  5. Step 5: Solve for x
    x = 1,060,479,801,616/473,426
  6. Step 6: Final answer
    x = 2,240,011.75

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