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Finding the Third Proportional to 1,143,103 and 2,556,854

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Solution

The third proportional to 1,143,103 and 2,556,854 is: 5,719,084.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,143,103 : 2,556,854 = 2,556,854 : x
  2. Step 2: Convert to fraction form
    1,143,103/2,556,854 = 2,556,854/x
  3. Step 3: Cross multiply
    1,143,103x = 2,556,854 × 2,556,854
  4. Step 4: Simplify right side
    1,143,103x = 6,537,502,377,316
  5. Step 5: Solve for x
    x = 6,537,502,377,316/1,143,103
  6. Step 6: Final answer
    x = 5,719,084.26

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.