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Finding the Third Proportional to 4,611,654 and 6,932,304

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Solution

The third proportional to 4,611,654 and 6,932,304 is: 10,420,738.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,611,654 : 6,932,304 = 6,932,304 : x
  2. Step 2: Convert to fraction form
    4,611,654/6,932,304 = 6,932,304/x
  3. Step 3: Cross multiply
    4,611,654x = 6,932,304 × 6,932,304
  4. Step 4: Simplify right side
    4,611,654x = 48,056,838,748,416
  5. Step 5: Solve for x
    x = 48,056,838,748,416/4,611,654
  6. Step 6: Final answer
    x = 10,420,738.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.