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Finding the Third Proportional to 1,408,968 and 3,042,994.50

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Solution

The third proportional to 1,408,968 and 3,042,994.50 is: 6,572,055.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,408,968 : 3,042,994.50 = 3,042,994.50 : x
  2. Step 2: Convert to fraction form
    1,408,968/3,042,994.50 = 3,042,994.50/x
  3. Step 3: Cross multiply
    1,408,968x = 3,042,994.50 × 3,042,994.50
  4. Step 4: Simplify right side
    1,408,968x = 9,259,815,527,030.25
  5. Step 5: Solve for x
    x = 9,259,815,527,030.25/1,408,968
  6. Step 6: Final answer
    x = 6,572,055.24

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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.