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Finding the Third Proportional to 1,748,963 and 3,824,950

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Solution

The third proportional to 1,748,963 and 3,824,950 is: 8,365,095.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,748,963 : 3,824,950 = 3,824,950 : x
  2. Step 2: Convert to fraction form
    1,748,963/3,824,950 = 3,824,950/x
  3. Step 3: Cross multiply
    1,748,963x = 3,824,950 × 3,824,950
  4. Step 4: Simplify right side
    1,748,963x = 14,630,242,502,500
  5. Step 5: Solve for x
    x = 14,630,242,502,500/1,748,963
  6. Step 6: Final answer
    x = 8,365,095.49

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.