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Finding the Third Proportional to 448,762 and 960,583

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Solution

The third proportional to 448,762 and 960,583 is: 2,056,144.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,762 : 960,583 = 960,583 : x
  2. Step 2: Convert to fraction form
    448,762/960,583 = 960,583/x
  3. Step 3: Cross multiply
    448,762x = 960,583 × 960,583
  4. Step 4: Simplify right side
    448,762x = 922,719,699,889
  5. Step 5: Solve for x
    x = 922,719,699,889/448,762
  6. Step 6: Final answer
    x = 2,056,144.91

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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.