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Finding the Third Proportional to 487,980 and 1,038,168

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Solution

The third proportional to 487,980 and 1,038,168 is: 2,208,682.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,980 : 1,038,168 = 1,038,168 : x
  2. Step 2: Convert to fraction form
    487,980/1,038,168 = 1,038,168/x
  3. Step 3: Cross multiply
    487,980x = 1,038,168 × 1,038,168
  4. Step 4: Simplify right side
    487,980x = 1,077,792,796,224
  5. Step 5: Solve for x
    x = 1,077,792,796,224/487,980
  6. Step 6: Final answer
    x = 2,208,682.32

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.