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Finding the Third Proportional to 1,053,012 and 2,274,140

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Solution

The third proportional to 1,053,012 and 2,274,140 is: 4,911,352.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053,012 : 2,274,140 = 2,274,140 : x
  2. Step 2: Convert to fraction form
    1,053,012/2,274,140 = 2,274,140/x
  3. Step 3: Cross multiply
    1,053,012x = 2,274,140 × 2,274,140
  4. Step 4: Simplify right side
    1,053,012x = 5,171,712,739,600
  5. Step 5: Solve for x
    x = 5,171,712,739,600/1,053,012
  6. Step 6: Final answer
    x = 4,911,352.14

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.