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Finding the Third Proportional to 1,020,054 and 2,241,420

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Solution

The third proportional to 1,020,054 and 2,241,420 is: 4,925,193.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020,054 : 2,241,420 = 2,241,420 : x
  2. Step 2: Convert to fraction form
    1,020,054/2,241,420 = 2,241,420/x
  3. Step 3: Cross multiply
    1,020,054x = 2,241,420 × 2,241,420
  4. Step 4: Simplify right side
    1,020,054x = 5,023,963,616,400
  5. Step 5: Solve for x
    x = 5,023,963,616,400/1,020,054
  6. Step 6: Final answer
    x = 4,925,193.78

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.