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Finding the Third Proportional to 1,430,344 and 2,160,098

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Solution

The third proportional to 1,430,344 and 2,160,098 is: 3,262,168.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,430,344 : 2,160,098 = 2,160,098 : x
  2. Step 2: Convert to fraction form
    1,430,344/2,160,098 = 2,160,098/x
  3. Step 3: Cross multiply
    1,430,344x = 2,160,098 × 2,160,098
  4. Step 4: Simplify right side
    1,430,344x = 4,666,023,369,604
  5. Step 5: Solve for x
    x = 4,666,023,369,604/1,430,344
  6. Step 6: Final answer
    x = 3,262,168.66

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.