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Finding the Third Proportional to 577,154 and 1,265,008

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Solution

The third proportional to 577,154 and 1,265,008 is: 2,772,648.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,154 : 1,265,008 = 1,265,008 : x
  2. Step 2: Convert to fraction form
    577,154/1,265,008 = 1,265,008/x
  3. Step 3: Cross multiply
    577,154x = 1,265,008 × 1,265,008
  4. Step 4: Simplify right side
    577,154x = 1,600,245,240,064
  5. Step 5: Solve for x
    x = 1,600,245,240,064/577,154
  6. Step 6: Final answer
    x = 2,772,648.62

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.