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Finding the Third Proportional to 450,157.50 and 975,048.89

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Solution

The third proportional to 450,157.50 and 975,048.89 is: 2,111,972.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,157.50 : 975,048.89 = 975,048.89 : x
  2. Step 2: Convert to fraction form
    450,157.50/975,048.89 = 975,048.89/x
  3. Step 3: Cross multiply
    450,157.50x = 975,048.89 × 975,048.89
  4. Step 4: Simplify right side
    450,157.50x = 950,720,339,109.04
  5. Step 5: Solve for x
    x = 950,720,339,109.04/450,157.50
  6. Step 6: Final answer
    x = 2,111,972.67

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