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Finding the Third Proportional to 662,986.13 and 1,447,416

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Solution

The third proportional to 662,986.13 and 1,447,416 is: 3,159,965.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    662,986.13 : 1,447,416 = 1,447,416 : x
  2. Step 2: Convert to fraction form
    662,986.13/1,447,416 = 1,447,416/x
  3. Step 3: Cross multiply
    662,986.13x = 1,447,416 × 1,447,416
  4. Step 4: Simplify right side
    662,986.13x = 2,095,013,077,056
  5. Step 5: Solve for x
    x = 2,095,013,077,056/662,986.13
  6. Step 6: Final answer
    x = 3,159,965.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.