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Finding the Third Proportional to 445,537 and 975,287

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Solution

The third proportional to 445,537 and 975,287 is: 2,134,917.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,537 : 975,287 = 975,287 : x
  2. Step 2: Convert to fraction form
    445,537/975,287 = 975,287/x
  3. Step 3: Cross multiply
    445,537x = 975,287 × 975,287
  4. Step 4: Simplify right side
    445,537x = 951,184,732,369
  5. Step 5: Solve for x
    x = 951,184,732,369/445,537
  6. Step 6: Final answer
    x = 2,134,917.49

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.