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Finding the Third Proportional to 1,264,946 and 2,739,844

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Solution

The third proportional to 1,264,946 and 2,739,844 is: 5,934,439.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,264,946 : 2,739,844 = 2,739,844 : x
  2. Step 2: Convert to fraction form
    1,264,946/2,739,844 = 2,739,844/x
  3. Step 3: Cross multiply
    1,264,946x = 2,739,844 × 2,739,844
  4. Step 4: Simplify right side
    1,264,946x = 7,506,745,144,336
  5. Step 5: Solve for x
    x = 7,506,745,144,336/1,264,946
  6. Step 6: Final answer
    x = 5,934,439.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.