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Finding the Third Proportional to 873,189 and 1,908,701

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Solution

The third proportional to 873,189 and 1,908,701 is: 4,172,223.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    873,189 : 1,908,701 = 1,908,701 : x
  2. Step 2: Convert to fraction form
    873,189/1,908,701 = 1,908,701/x
  3. Step 3: Cross multiply
    873,189x = 1,908,701 × 1,908,701
  4. Step 4: Simplify right side
    873,189x = 3,643,139,507,401
  5. Step 5: Solve for x
    x = 3,643,139,507,401/873,189
  6. Step 6: Final answer
    x = 4,172,223.32

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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.