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Finding the Third Proportional to 445,984 and 953,024

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Solution

The third proportional to 445,984 and 953,024 is: 2,036,518.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,984 : 953,024 = 953,024 : x
  2. Step 2: Convert to fraction form
    445,984/953,024 = 953,024/x
  3. Step 3: Cross multiply
    445,984x = 953,024 × 953,024
  4. Step 4: Simplify right side
    445,984x = 908,254,744,576
  5. Step 5: Solve for x
    x = 908,254,744,576/445,984
  6. Step 6: Final answer
    x = 2,036,518.67

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.