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Finding the Third Proportional to 647,212 and 1,003,060

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Solution

The third proportional to 647,212 and 1,003,060 is: 1,554,559.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,212 : 1,003,060 = 1,003,060 : x
  2. Step 2: Convert to fraction form
    647,212/1,003,060 = 1,003,060/x
  3. Step 3: Cross multiply
    647,212x = 1,003,060 × 1,003,060
  4. Step 4: Simplify right side
    647,212x = 1,006,129,363,600
  5. Step 5: Solve for x
    x = 1,006,129,363,600/647,212
  6. Step 6: Final answer
    x = 1,554,559.19

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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.