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Finding the Third Proportional to 907,576 and 1,908,032

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Solution

The third proportional to 907,576 and 1,908,032 is: 4,011,329.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    907,576 : 1,908,032 = 1,908,032 : x
  2. Step 2: Convert to fraction form
    907,576/1,908,032 = 1,908,032/x
  3. Step 3: Cross multiply
    907,576x = 1,908,032 × 1,908,032
  4. Step 4: Simplify right side
    907,576x = 3,640,586,113,024
  5. Step 5: Solve for x
    x = 3,640,586,113,024/907,576
  6. Step 6: Final answer
    x = 4,011,329.20

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.