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Finding the Third Proportional to 1,163,369 and 1,738,013

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Solution

The third proportional to 1,163,369 and 1,738,013 is: 2,596,501.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,163,369 : 1,738,013 = 1,738,013 : x
  2. Step 2: Convert to fraction form
    1,163,369/1,738,013 = 1,738,013/x
  3. Step 3: Cross multiply
    1,163,369x = 1,738,013 × 1,738,013
  4. Step 4: Simplify right side
    1,163,369x = 3,020,689,188,169
  5. Step 5: Solve for x
    x = 3,020,689,188,169/1,163,369
  6. Step 6: Final answer
    x = 2,596,501.36

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.