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Finding the Third Proportional to 695,588 and 1,465,890

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Solution

The third proportional to 695,588 and 1,465,890 is: 3,089,233.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    695,588 : 1,465,890 = 1,465,890 : x
  2. Step 2: Convert to fraction form
    695,588/1,465,890 = 1,465,890/x
  3. Step 3: Cross multiply
    695,588x = 1,465,890 × 1,465,890
  4. Step 4: Simplify right side
    695,588x = 2,148,833,492,100
  5. Step 5: Solve for x
    x = 2,148,833,492,100/695,588
  6. Step 6: Final answer
    x = 3,089,233.13

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.