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Finding the Third Proportional to 874,854 and 1,370,601

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Solution

The third proportional to 874,854 and 1,370,601 is: 2,147,269.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    874,854 : 1,370,601 = 1,370,601 : x
  2. Step 2: Convert to fraction form
    874,854/1,370,601 = 1,370,601/x
  3. Step 3: Cross multiply
    874,854x = 1,370,601 × 1,370,601
  4. Step 4: Simplify right side
    874,854x = 1,878,547,101,201
  5. Step 5: Solve for x
    x = 1,878,547,101,201/874,854
  6. Step 6: Final answer
    x = 2,147,269.26

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.