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Finding the Third Proportional to 1,077,871.50 and 2,347,106.63

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Solution

The third proportional to 1,077,871.50 and 2,347,106.63 is: 5,110,914.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,077,871.50 : 2,347,106.63 = 2,347,106.63 : x
  2. Step 2: Convert to fraction form
    1,077,871.50/2,347,106.63 = 2,347,106.63/x
  3. Step 3: Cross multiply
    1,077,871.50x = 2,347,106.63 × 2,347,106.63
  4. Step 4: Simplify right side
    1,077,871.50x = 5,508,909,509,118.89
  5. Step 5: Solve for x
    x = 5,508,909,509,118.89/1,077,871.50
  6. Step 6: Final answer
    x = 5,110,914.90

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