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Finding the Third Proportional to 476,388 and 1,021,848.75

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Solution

The third proportional to 476,388 and 1,021,848.75 is: 2,191,858.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,388 : 1,021,848.75 = 1,021,848.75 : x
  2. Step 2: Convert to fraction form
    476,388/1,021,848.75 = 1,021,848.75/x
  3. Step 3: Cross multiply
    476,388x = 1,021,848.75 × 1,021,848.75
  4. Step 4: Simplify right side
    476,388x = 1,044,174,867,876.56
  5. Step 5: Solve for x
    x = 1,044,174,867,876.56/476,388
  6. Step 6: Final answer
    x = 2,191,858.04

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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.