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Finding the Third Proportional to 1,589,115.09 and 3,475,312.88

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Solution

The third proportional to 1,589,115.09 and 3,475,312.88 is: 7,600,330.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,589,115.09 : 3,475,312.88 = 3,475,312.88 : x
  2. Step 2: Convert to fraction form
    1,589,115.09/3,475,312.88 = 3,475,312.88/x
  3. Step 3: Cross multiply
    1,589,115.09x = 3,475,312.88 × 3,475,312.88
  4. Step 4: Simplify right side
    1,589,115.09x = 12,077,799,579,140.77
  5. Step 5: Solve for x
    x = 12,077,799,579,140.77/1,589,115.09
  6. Step 6: Final answer
    x = 7,600,330.29

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.