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Finding the Third Proportional to 2,201,823 and 3,402,931.50

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Solution

The third proportional to 2,201,823 and 3,402,931.50 is: 5,259,252.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,201,823 : 3,402,931.50 = 3,402,931.50 : x
  2. Step 2: Convert to fraction form
    2,201,823/3,402,931.50 = 3,402,931.50/x
  3. Step 3: Cross multiply
    2,201,823x = 3,402,931.50 × 3,402,931.50
  4. Step 4: Simplify right side
    2,201,823x = 11,579,942,793,692.25
  5. Step 5: Solve for x
    x = 11,579,942,793,692.25/2,201,823
  6. Step 6: Final answer
    x = 5,259,252.35

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.