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Finding the Third Proportional to 973,824 and 2,103,168

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Solution

The third proportional to 973,824 and 2,103,168 is: 4,542,212.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    973,824 : 2,103,168 = 2,103,168 : x
  2. Step 2: Convert to fraction form
    973,824/2,103,168 = 2,103,168/x
  3. Step 3: Cross multiply
    973,824x = 2,103,168 × 2,103,168
  4. Step 4: Simplify right side
    973,824x = 4,423,315,636,224
  5. Step 5: Solve for x
    x = 4,423,315,636,224/973,824
  6. Step 6: Final answer
    x = 4,542,212.59

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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.