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Finding the Third Proportional to 917,424 and 1,946,304

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Solution

The third proportional to 917,424 and 1,946,304 is: 4,129,060.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    917,424 : 1,946,304 = 1,946,304 : x
  2. Step 2: Convert to fraction form
    917,424/1,946,304 = 1,946,304/x
  3. Step 3: Cross multiply
    917,424x = 1,946,304 × 1,946,304
  4. Step 4: Simplify right side
    917,424x = 3,788,099,260,416
  5. Step 5: Solve for x
    x = 3,788,099,260,416/917,424
  6. Step 6: Final answer
    x = 4,129,060.57

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.