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Finding the Third Proportional to 411,537 and 898,485

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Solution

The third proportional to 411,537 and 898,485 is: 1,961,610.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,537 : 898,485 = 898,485 : x
  2. Step 2: Convert to fraction form
    411,537/898,485 = 898,485/x
  3. Step 3: Cross multiply
    411,537x = 898,485 × 898,485
  4. Step 4: Simplify right side
    411,537x = 807,275,295,225
  5. Step 5: Solve for x
    x = 807,275,295,225/411,537
  6. Step 6: Final answer
    x = 1,961,610.49

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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.