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Finding the Third Proportional to 2,924,209 and 6,520,787.50

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Solution

The third proportional to 2,924,209 and 6,520,787.50 is: 14,540,913.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,924,209 : 6,520,787.50 = 6,520,787.50 : x
  2. Step 2: Convert to fraction form
    2,924,209/6,520,787.50 = 6,520,787.50/x
  3. Step 3: Cross multiply
    2,924,209x = 6,520,787.50 × 6,520,787.50
  4. Step 4: Simplify right side
    2,924,209x = 42,520,669,620,156.25
  5. Step 5: Solve for x
    x = 42,520,669,620,156.25/2,924,209
  6. Step 6: Final answer
    x = 14,540,913.33

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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.