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Finding the Third Proportional to 1,577,588 and 3,407,403

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Solution

The third proportional to 1,577,588 and 3,407,403 is: 7,359,586.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,577,588 : 3,407,403 = 3,407,403 : x
  2. Step 2: Convert to fraction form
    1,577,588/3,407,403 = 3,407,403/x
  3. Step 3: Cross multiply
    1,577,588x = 3,407,403 × 3,407,403
  4. Step 4: Simplify right side
    1,577,588x = 11,610,395,204,409
  5. Step 5: Solve for x
    x = 11,610,395,204,409/1,577,588
  6. Step 6: Final answer
    x = 7,359,586.41

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.