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Finding the Third Proportional to 515,848.50 and 1,213,770

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Solution

The third proportional to 515,848.50 and 1,213,770 is: 2,855,950.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,848.50 : 1,213,770 = 1,213,770 : x
  2. Step 2: Convert to fraction form
    515,848.50/1,213,770 = 1,213,770/x
  3. Step 3: Cross multiply
    515,848.50x = 1,213,770 × 1,213,770
  4. Step 4: Simplify right side
    515,848.50x = 1,473,237,612,900
  5. Step 5: Solve for x
    x = 1,473,237,612,900/515,848.50
  6. Step 6: Final answer
    x = 2,855,950.17

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.