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Finding the Third Proportional to 475,984 and 1,001,054

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Solution

The third proportional to 475,984 and 1,001,054 is: 2,105,342.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,984 : 1,001,054 = 1,001,054 : x
  2. Step 2: Convert to fraction form
    475,984/1,001,054 = 1,001,054/x
  3. Step 3: Cross multiply
    475,984x = 1,001,054 × 1,001,054
  4. Step 4: Simplify right side
    475,984x = 1,002,109,110,916
  5. Step 5: Solve for x
    x = 1,002,109,110,916/475,984
  6. Step 6: Final answer
    x = 2,105,342.01

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.