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Finding the Third Proportional to 473,346 and 1,029,636

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Solution

The third proportional to 473,346 and 1,029,636 is: 2,239,694.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,346 : 1,029,636 = 1,029,636 : x
  2. Step 2: Convert to fraction form
    473,346/1,029,636 = 1,029,636/x
  3. Step 3: Cross multiply
    473,346x = 1,029,636 × 1,029,636
  4. Step 4: Simplify right side
    473,346x = 1,060,150,292,496
  5. Step 5: Solve for x
    x = 1,060,150,292,496/473,346
  6. Step 6: Final answer
    x = 2,239,694.20

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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.