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Finding the Third Proportional to 818,433.94 and 1,238,970.19

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Solution

The third proportional to 818,433.94 and 1,238,970.19 is: 1,875,590.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    818,433.94 : 1,238,970.19 = 1,238,970.19 : x
  2. Step 2: Convert to fraction form
    818,433.94/1,238,970.19 = 1,238,970.19/x
  3. Step 3: Cross multiply
    818,433.94x = 1,238,970.19 × 1,238,970.19
  4. Step 4: Simplify right side
    818,433.94x = 1,535,047,125,513.79
  5. Step 5: Solve for x
    x = 1,535,047,125,513.79/818,433.94
  6. Step 6: Final answer
    x = 1,875,590.75

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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.