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Finding the Third Proportional to 986,496 and 1,477,044

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Solution

The third proportional to 986,496 and 1,477,044 is: 2,211,523.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    986,496 : 1,477,044 = 1,477,044 : x
  2. Step 2: Convert to fraction form
    986,496/1,477,044 = 1,477,044/x
  3. Step 3: Cross multiply
    986,496x = 1,477,044 × 1,477,044
  4. Step 4: Simplify right side
    986,496x = 2,181,658,977,936
  5. Step 5: Solve for x
    x = 2,181,658,977,936/986,496
  6. Step 6: Final answer
    x = 2,211,523.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.