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Finding the Third Proportional to 745,003 and 1,658,627

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Solution

The third proportional to 745,003 and 1,658,627 is: 3,692,661.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    745,003 : 1,658,627 = 1,658,627 : x
  2. Step 2: Convert to fraction form
    745,003/1,658,627 = 1,658,627/x
  3. Step 3: Cross multiply
    745,003x = 1,658,627 × 1,658,627
  4. Step 4: Simplify right side
    745,003x = 2,751,043,525,129
  5. Step 5: Solve for x
    x = 2,751,043,525,129/745,003
  6. Step 6: Final answer
    x = 3,692,661.00

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.