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Finding the Third Proportional to 2,924,238.94 and 6,520,848.19

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Solution

The third proportional to 2,924,238.94 and 6,520,848.19 is: 14,541,035.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,924,238.94 : 6,520,848.19 = 6,520,848.19 : x
  2. Step 2: Convert to fraction form
    2,924,238.94/6,520,848.19 = 6,520,848.19/x
  3. Step 3: Cross multiply
    2,924,238.94x = 6,520,848.19 × 6,520,848.19
  4. Step 4: Simplify right side
    2,924,238.94x = 42,521,461,084,422.03
  5. Step 5: Solve for x
    x = 42,521,461,084,422.03/2,924,238.94
  6. Step 6: Final answer
    x = 14,541,035.12

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.