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Finding the Third Proportional to 470,759.63 and 1,029,546

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Solution

The third proportional to 470,759.63 and 1,029,546 is: 2,251,605.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,759.63 : 1,029,546 = 1,029,546 : x
  2. Step 2: Convert to fraction form
    470,759.63/1,029,546 = 1,029,546/x
  3. Step 3: Cross multiply
    470,759.63x = 1,029,546 × 1,029,546
  4. Step 4: Simplify right side
    470,759.63x = 1,059,964,966,116
  5. Step 5: Solve for x
    x = 1,059,964,966,116/470,759.63
  6. Step 6: Final answer
    x = 2,251,605.51

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.