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Finding the Third Proportional to 973,091 and 1,549,577

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Solution

The third proportional to 973,091 and 1,549,577 is: 2,467,589.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    973,091 : 1,549,577 = 1,549,577 : x
  2. Step 2: Convert to fraction form
    973,091/1,549,577 = 1,549,577/x
  3. Step 3: Cross multiply
    973,091x = 1,549,577 × 1,549,577
  4. Step 4: Simplify right side
    973,091x = 2,401,188,878,929
  5. Step 5: Solve for x
    x = 2,401,188,878,929/973,091
  6. Step 6: Final answer
    x = 2,467,589.24

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.