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Finding the Third Proportional to 1,084,964.50 and 2,376,614

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Solution

The third proportional to 1,084,964.50 and 2,376,614 is: 5,205,971.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,084,964.50 : 2,376,614 = 2,376,614 : x
  2. Step 2: Convert to fraction form
    1,084,964.50/2,376,614 = 2,376,614/x
  3. Step 3: Cross multiply
    1,084,964.50x = 2,376,614 × 2,376,614
  4. Step 4: Simplify right side
    1,084,964.50x = 5,648,294,104,996
  5. Step 5: Solve for x
    x = 5,648,294,104,996/1,084,964.50
  6. Step 6: Final answer
    x = 5,205,971.35

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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.