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Finding the Third Proportional to 1,869,946 and 4,094,582

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Solution

The third proportional to 1,869,946 and 4,094,582 is: 8,965,821.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,869,946 : 4,094,582 = 4,094,582 : x
  2. Step 2: Convert to fraction form
    1,869,946/4,094,582 = 4,094,582/x
  3. Step 3: Cross multiply
    1,869,946x = 4,094,582 × 4,094,582
  4. Step 4: Simplify right side
    1,869,946x = 16,765,601,754,724
  5. Step 5: Solve for x
    x = 16,765,601,754,724/1,869,946
  6. Step 6: Final answer
    x = 8,965,821.34

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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.