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Finding the Third Proportional to 449,585 and 978,495

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Solution

The third proportional to 449,585 and 978,495 is: 2,129,636.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,585 : 978,495 = 978,495 : x
  2. Step 2: Convert to fraction form
    449,585/978,495 = 978,495/x
  3. Step 3: Cross multiply
    449,585x = 978,495 × 978,495
  4. Step 4: Simplify right side
    449,585x = 957,452,465,025
  5. Step 5: Solve for x
    x = 957,452,465,025/449,585
  6. Step 6: Final answer
    x = 2,129,636.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.