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Finding the Third Proportional to 661,403 and 1,435,558

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Solution

The third proportional to 661,403 and 1,435,558 is: 3,115,841.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    661,403 : 1,435,558 = 1,435,558 : x
  2. Step 2: Convert to fraction form
    661,403/1,435,558 = 1,435,558/x
  3. Step 3: Cross multiply
    661,403x = 1,435,558 × 1,435,558
  4. Step 4: Simplify right side
    661,403x = 2,060,826,771,364
  5. Step 5: Solve for x
    x = 2,060,826,771,364/661,403
  6. Step 6: Final answer
    x = 3,115,841.28

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.