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Finding the Third Proportional to 532,998 and 1,145,052

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Solution

The third proportional to 532,998 and 1,145,052 is: 2,459,941.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,998 : 1,145,052 = 1,145,052 : x
  2. Step 2: Convert to fraction form
    532,998/1,145,052 = 1,145,052/x
  3. Step 3: Cross multiply
    532,998x = 1,145,052 × 1,145,052
  4. Step 4: Simplify right side
    532,998x = 1,311,144,082,704
  5. Step 5: Solve for x
    x = 1,311,144,082,704/532,998
  6. Step 6: Final answer
    x = 2,459,941.84

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.