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Finding the Third Proportional to 873,201 and 1,908,717

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Solution

The third proportional to 873,201 and 1,908,717 is: 4,172,235.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    873,201 : 1,908,717 = 1,908,717 : x
  2. Step 2: Convert to fraction form
    873,201/1,908,717 = 1,908,717/x
  3. Step 3: Cross multiply
    873,201x = 1,908,717 × 1,908,717
  4. Step 4: Simplify right side
    873,201x = 3,643,200,586,089
  5. Step 5: Solve for x
    x = 3,643,200,586,089/873,201
  6. Step 6: Final answer
    x = 4,172,235.93

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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.