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Finding the Third Proportional to 1,503,074.81 and 3,218,972.06

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Solution

The third proportional to 1,503,074.81 and 3,218,972.06 is: 6,893,722.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,503,074.81 : 3,218,972.06 = 3,218,972.06 : x
  2. Step 2: Convert to fraction form
    1,503,074.81/3,218,972.06 = 3,218,972.06/x
  3. Step 3: Cross multiply
    1,503,074.81x = 3,218,972.06 × 3,218,972.06
  4. Step 4: Simplify right side
    1,503,074.81x = 10,361,781,139,155.50
  5. Step 5: Solve for x
    x = 10,361,781,139,155.50/1,503,074.81
  6. Step 6: Final answer
    x = 6,893,722.82

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.