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Finding the Third Proportional to 647,206 and 1,003,044

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Solution

The third proportional to 647,206 and 1,003,044 is: 1,554,524.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,206 : 1,003,044 = 1,003,044 : x
  2. Step 2: Convert to fraction form
    647,206/1,003,044 = 1,003,044/x
  3. Step 3: Cross multiply
    647,206x = 1,003,044 × 1,003,044
  4. Step 4: Simplify right side
    647,206x = 1,006,097,265,936
  5. Step 5: Solve for x
    x = 1,006,097,265,936/647,206
  6. Step 6: Final answer
    x = 1,554,524.01

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.