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Finding the Third Proportional to 452,688 and 983,256

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Solution

The third proportional to 452,688 and 983,256 is: 2,135,670.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,688 : 983,256 = 983,256 : x
  2. Step 2: Convert to fraction form
    452,688/983,256 = 983,256/x
  3. Step 3: Cross multiply
    452,688x = 983,256 × 983,256
  4. Step 4: Simplify right side
    452,688x = 966,792,361,536
  5. Step 5: Solve for x
    x = 966,792,361,536/452,688
  6. Step 6: Final answer
    x = 2,135,670.40

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.