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Finding the Third Proportional to 584,830 and 1,275,356

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Solution

The third proportional to 584,830 and 1,275,356 is: 2,781,206.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,830 : 1,275,356 = 1,275,356 : x
  2. Step 2: Convert to fraction form
    584,830/1,275,356 = 1,275,356/x
  3. Step 3: Cross multiply
    584,830x = 1,275,356 × 1,275,356
  4. Step 4: Simplify right side
    584,830x = 1,626,532,926,736
  5. Step 5: Solve for x
    x = 1,626,532,926,736/584,830
  6. Step 6: Final answer
    x = 2,781,206.38

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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.