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Finding the Third Proportional to 973,116 and 1,549,611

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Solution

The third proportional to 973,116 and 1,549,611 is: 2,467,634.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    973,116 : 1,549,611 = 1,549,611 : x
  2. Step 2: Convert to fraction form
    973,116/1,549,611 = 1,549,611/x
  3. Step 3: Cross multiply
    973,116x = 1,549,611 × 1,549,611
  4. Step 4: Simplify right side
    973,116x = 2,401,294,251,321
  5. Step 5: Solve for x
    x = 2,401,294,251,321/973,116
  6. Step 6: Final answer
    x = 2,467,634.13

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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.