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Finding the Third Proportional to 466,838 and 1,018,168

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Solution

The third proportional to 466,838 and 1,018,168 is: 2,220,612.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,838 : 1,018,168 = 1,018,168 : x
  2. Step 2: Convert to fraction form
    466,838/1,018,168 = 1,018,168/x
  3. Step 3: Cross multiply
    466,838x = 1,018,168 × 1,018,168
  4. Step 4: Simplify right side
    466,838x = 1,036,666,076,224
  5. Step 5: Solve for x
    x = 1,036,666,076,224/466,838
  6. Step 6: Final answer
    x = 2,220,612.02

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.