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Finding the Third Proportional to 530,842 and 1,154,991

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Solution

The third proportional to 530,842 and 1,154,991 is: 2,512,996.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,842 : 1,154,991 = 1,154,991 : x
  2. Step 2: Convert to fraction form
    530,842/1,154,991 = 1,154,991/x
  3. Step 3: Cross multiply
    530,842x = 1,154,991 × 1,154,991
  4. Step 4: Simplify right side
    530,842x = 1,334,004,210,081
  5. Step 5: Solve for x
    x = 1,334,004,210,081/530,842
  6. Step 6: Final answer
    x = 2,512,996.73

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.