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Finding the Third Proportional to 666,264 and 874,746

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Solution

The third proportional to 666,264 and 874,746 is: 1,148,464.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,264 : 874,746 = 874,746 : x
  2. Step 2: Convert to fraction form
    666,264/874,746 = 874,746/x
  3. Step 3: Cross multiply
    666,264x = 874,746 × 874,746
  4. Step 4: Simplify right side
    666,264x = 765,180,564,516
  5. Step 5: Solve for x
    x = 765,180,564,516/666,264
  6. Step 6: Final answer
    x = 1,148,464.52

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.