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Finding the Third Proportional to 1,549,824 and 2,082,708

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Solution

The third proportional to 1,549,824 and 2,082,708 is: 2,798,816.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,549,824 : 2,082,708 = 2,082,708 : x
  2. Step 2: Convert to fraction form
    1,549,824/2,082,708 = 2,082,708/x
  3. Step 3: Cross multiply
    1,549,824x = 2,082,708 × 2,082,708
  4. Step 4: Simplify right side
    1,549,824x = 4,337,672,613,264
  5. Step 5: Solve for x
    x = 4,337,672,613,264/1,549,824
  6. Step 6: Final answer
    x = 2,798,816.26

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.