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Finding the Third Proportional to 745,001 and 1,658,623

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Solution

The third proportional to 745,001 and 1,658,623 is: 3,692,653.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    745,001 : 1,658,623 = 1,658,623 : x
  2. Step 2: Convert to fraction form
    745,001/1,658,623 = 1,658,623/x
  3. Step 3: Cross multiply
    745,001x = 1,658,623 × 1,658,623
  4. Step 4: Simplify right side
    745,001x = 2,751,030,256,129
  5. Step 5: Solve for x
    x = 2,751,030,256,129/745,001
  6. Step 6: Final answer
    x = 3,692,653.11

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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.