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Finding the Third Proportional to 2,739,714 and 4,363,263

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Solution

The third proportional to 2,739,714 and 4,363,263 is: 6,948,923.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,739,714 : 4,363,263 = 4,363,263 : x
  2. Step 2: Convert to fraction form
    2,739,714/4,363,263 = 4,363,263/x
  3. Step 3: Cross multiply
    2,739,714x = 4,363,263 × 4,363,263
  4. Step 4: Simplify right side
    2,739,714x = 19,038,064,007,169
  5. Step 5: Solve for x
    x = 19,038,064,007,169/2,739,714
  6. Step 6: Final answer
    x = 6,948,923.87

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.