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Finding the Third Proportional to 1,010,595.94 and 1,526,424.19

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Solution

The third proportional to 1,010,595.94 and 1,526,424.19 is: 2,305,541.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,010,595.94 : 1,526,424.19 = 1,526,424.19 : x
  2. Step 2: Convert to fraction form
    1,010,595.94/1,526,424.19 = 1,526,424.19/x
  3. Step 3: Cross multiply
    1,010,595.94x = 1,526,424.19 × 1,526,424.19
  4. Step 4: Simplify right side
    1,010,595.94x = 2,329,970,800,185.04
  5. Step 5: Solve for x
    x = 2,329,970,800,185.04/1,010,595.94
  6. Step 6: Final answer
    x = 2,305,541.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.