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Finding the Third Proportional to 584,833 and 1,275,434

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Solution

The third proportional to 584,833 and 1,275,434 is: 2,781,532.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,833 : 1,275,434 = 1,275,434 : x
  2. Step 2: Convert to fraction form
    584,833/1,275,434 = 1,275,434/x
  3. Step 3: Cross multiply
    584,833x = 1,275,434 × 1,275,434
  4. Step 4: Simplify right side
    584,833x = 1,626,731,888,356
  5. Step 5: Solve for x
    x = 1,626,731,888,356/584,833
  6. Step 6: Final answer
    x = 2,781,532.31

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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.