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Finding the Third Proportional to 660,650 and 1,447,516

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Solution

The third proportional to 660,650 and 1,447,516 is: 3,171,577.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    660,650 : 1,447,516 = 1,447,516 : x
  2. Step 2: Convert to fraction form
    660,650/1,447,516 = 1,447,516/x
  3. Step 3: Cross multiply
    660,650x = 1,447,516 × 1,447,516
  4. Step 4: Simplify right side
    660,650x = 2,095,302,570,256
  5. Step 5: Solve for x
    x = 2,095,302,570,256/660,650
  6. Step 6: Final answer
    x = 3,171,577.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.