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Finding the Third Proportional to 450,174 and 975,084

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Solution

The third proportional to 450,174 and 975,084 is: 2,112,047.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,174 : 975,084 = 975,084 : x
  2. Step 2: Convert to fraction form
    450,174/975,084 = 975,084/x
  3. Step 3: Cross multiply
    450,174x = 975,084 × 975,084
  4. Step 4: Simplify right side
    450,174x = 950,788,807,056
  5. Step 5: Solve for x
    x = 950,788,807,056/450,174
  6. Step 6: Final answer
    x = 2,112,047.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.