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Finding the Third Proportional to 1,032,085.50 and 1,594,146

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Solution

The third proportional to 1,032,085.50 and 1,594,146 is: 2,462,297.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032,085.50 : 1,594,146 = 1,594,146 : x
  2. Step 2: Convert to fraction form
    1,032,085.50/1,594,146 = 1,594,146/x
  3. Step 3: Cross multiply
    1,032,085.50x = 1,594,146 × 1,594,146
  4. Step 4: Simplify right side
    1,032,085.50x = 2,541,301,469,316
  5. Step 5: Solve for x
    x = 2,541,301,469,316/1,032,085.50
  6. Step 6: Final answer
    x = 2,462,297.43

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.