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Finding the Third Proportional to 712,238.06 and 1,559,555.02

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Solution

The third proportional to 712,238.06 and 1,559,555.02 is: 3,414,886.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,238.06 : 1,559,555.02 = 1,559,555.02 : x
  2. Step 2: Convert to fraction form
    712,238.06/1,559,555.02 = 1,559,555.02/x
  3. Step 3: Cross multiply
    712,238.06x = 1,559,555.02 × 1,559,555.02
  4. Step 4: Simplify right side
    712,238.06x = 2,432,211,846,761.09
  5. Step 5: Solve for x
    x = 2,432,211,846,761.09/712,238.06
  6. Step 6: Final answer
    x = 3,414,886.08

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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.