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Finding the Third Proportional to 1,127,759 and 2,431,567

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Solution

The third proportional to 1,127,759 and 2,431,567 is: 5,242,714.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,127,759 : 2,431,567 = 2,431,567 : x
  2. Step 2: Convert to fraction form
    1,127,759/2,431,567 = 2,431,567/x
  3. Step 3: Cross multiply
    1,127,759x = 2,431,567 × 2,431,567
  4. Step 4: Simplify right side
    1,127,759x = 5,912,518,075,489
  5. Step 5: Solve for x
    x = 5,912,518,075,489/1,127,759
  6. Step 6: Final answer
    x = 5,242,714.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.