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Finding the Third Proportional to 1,430,364 and 2,978,300

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Solution

The third proportional to 1,430,364 and 2,978,300 is: 6,201,408.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,430,364 : 2,978,300 = 2,978,300 : x
  2. Step 2: Convert to fraction form
    1,430,364/2,978,300 = 2,978,300/x
  3. Step 3: Cross multiply
    1,430,364x = 2,978,300 × 2,978,300
  4. Step 4: Simplify right side
    1,430,364x = 8,870,270,890,000
  5. Step 5: Solve for x
    x = 8,870,270,890,000/1,430,364
  6. Step 6: Final answer
    x = 6,201,408.10

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.