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Finding the Third Proportional to 660,184 and 891,498

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Solution

The third proportional to 660,184 and 891,498 is: 1,203,859.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    660,184 : 891,498 = 891,498 : x
  2. Step 2: Convert to fraction form
    660,184/891,498 = 891,498/x
  3. Step 3: Cross multiply
    660,184x = 891,498 × 891,498
  4. Step 4: Simplify right side
    660,184x = 794,768,684,004
  5. Step 5: Solve for x
    x = 794,768,684,004/660,184
  6. Step 6: Final answer
    x = 1,203,859.35

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.