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Finding the Third Proportional to 544,146 and 1,193,316

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Solution

The third proportional to 544,146 and 1,193,316 is: 2,616,950.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    544,146 : 1,193,316 = 1,193,316 : x
  2. Step 2: Convert to fraction form
    544,146/1,193,316 = 1,193,316/x
  3. Step 3: Cross multiply
    544,146x = 1,193,316 × 1,193,316
  4. Step 4: Simplify right side
    544,146x = 1,424,003,075,856
  5. Step 5: Solve for x
    x = 1,424,003,075,856/544,146
  6. Step 6: Final answer
    x = 2,616,950.37

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.