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Finding the Third Proportional to 1,022,178 and 2,223,325.50

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Solution

The third proportional to 1,022,178 and 2,223,325.50 is: 4,835,925.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022,178 : 2,223,325.50 = 2,223,325.50 : x
  2. Step 2: Convert to fraction form
    1,022,178/2,223,325.50 = 2,223,325.50/x
  3. Step 3: Cross multiply
    1,022,178x = 2,223,325.50 × 2,223,325.50
  4. Step 4: Simplify right side
    1,022,178x = 4,943,176,278,950.25
  5. Step 5: Solve for x
    x = 4,943,176,278,950.25/1,022,178
  6. Step 6: Final answer
    x = 4,835,925.13

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.