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Finding the Third Proportional to 656,967 and 1,416,480

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Solution

The third proportional to 656,967 and 1,416,480 is: 3,054,058.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,967 : 1,416,480 = 1,416,480 : x
  2. Step 2: Convert to fraction form
    656,967/1,416,480 = 1,416,480/x
  3. Step 3: Cross multiply
    656,967x = 1,416,480 × 1,416,480
  4. Step 4: Simplify right side
    656,967x = 2,006,415,590,400
  5. Step 5: Solve for x
    x = 2,006,415,590,400/656,967
  6. Step 6: Final answer
    x = 3,054,058.41

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.