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Finding the Third Proportional to 684,764 and 1,029,216

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Solution

The third proportional to 684,764 and 1,029,216 is: 1,546,935.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,764 : 1,029,216 = 1,029,216 : x
  2. Step 2: Convert to fraction form
    684,764/1,029,216 = 1,029,216/x
  3. Step 3: Cross multiply
    684,764x = 1,029,216 × 1,029,216
  4. Step 4: Simplify right side
    684,764x = 1,059,285,574,656
  5. Step 5: Solve for x
    x = 1,059,285,574,656/684,764
  6. Step 6: Final answer
    x = 1,546,935.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.