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Finding the Third Proportional to 562,764 and 1,232,256

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Solution

The third proportional to 562,764 and 1,232,256 is: 2,698,208.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,764 : 1,232,256 = 1,232,256 : x
  2. Step 2: Convert to fraction form
    562,764/1,232,256 = 1,232,256/x
  3. Step 3: Cross multiply
    562,764x = 1,232,256 × 1,232,256
  4. Step 4: Simplify right side
    562,764x = 1,518,454,849,536
  5. Step 5: Solve for x
    x = 1,518,454,849,536/562,764
  6. Step 6: Final answer
    x = 2,698,208.93

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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.