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Finding the Third Proportional to 1,264,196 and 2,677,072

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Solution

The third proportional to 1,264,196 and 2,677,072 is: 5,668,990.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,264,196 : 2,677,072 = 2,677,072 : x
  2. Step 2: Convert to fraction form
    1,264,196/2,677,072 = 2,677,072/x
  3. Step 3: Cross multiply
    1,264,196x = 2,677,072 × 2,677,072
  4. Step 4: Simplify right side
    1,264,196x = 7,166,714,493,184
  5. Step 5: Solve for x
    x = 7,166,714,493,184/1,264,196
  6. Step 6: Final answer
    x = 5,668,990.01

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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.