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Finding the Third Proportional to 767,886.50 and 1,666,301.50

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Solution

The third proportional to 767,886.50 and 1,666,301.50 is: 3,615,847.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    767,886.50 : 1,666,301.50 = 1,666,301.50 : x
  2. Step 2: Convert to fraction form
    767,886.50/1,666,301.50 = 1,666,301.50/x
  3. Step 3: Cross multiply
    767,886.50x = 1,666,301.50 × 1,666,301.50
  4. Step 4: Simplify right side
    767,886.50x = 2,776,560,688,902.25
  5. Step 5: Solve for x
    x = 2,776,560,688,902.25/767,886.50
  6. Step 6: Final answer
    x = 3,615,847.77

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.