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Finding the Third Proportional to 660,480 and 1,049,649

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Solution

The third proportional to 660,480 and 1,049,649 is: 1,668,124.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    660,480 : 1,049,649 = 1,049,649 : x
  2. Step 2: Convert to fraction form
    660,480/1,049,649 = 1,049,649/x
  3. Step 3: Cross multiply
    660,480x = 1,049,649 × 1,049,649
  4. Step 4: Simplify right side
    660,480x = 1,101,763,023,201
  5. Step 5: Solve for x
    x = 1,101,763,023,201/660,480
  6. Step 6: Final answer
    x = 1,668,124.73

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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.