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Finding the Third Proportional to 1,706,230.50 and 3,713,751

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Solution

The third proportional to 1,706,230.50 and 3,713,751 is: 8,083,284.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,706,230.50 : 3,713,751 = 3,713,751 : x
  2. Step 2: Convert to fraction form
    1,706,230.50/3,713,751 = 3,713,751/x
  3. Step 3: Cross multiply
    1,706,230.50x = 3,713,751 × 3,713,751
  4. Step 4: Simplify right side
    1,706,230.50x = 13,791,946,490,001
  5. Step 5: Solve for x
    x = 13,791,946,490,001/1,706,230.50
  6. Step 6: Final answer
    x = 8,083,284.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.