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Finding the Third Proportional to 900,064 and 1,265,880

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Solution

The third proportional to 900,064 and 1,265,880 is: 1,780,375.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    900,064 : 1,265,880 = 1,265,880 : x
  2. Step 2: Convert to fraction form
    900,064/1,265,880 = 1,265,880/x
  3. Step 3: Cross multiply
    900,064x = 1,265,880 × 1,265,880
  4. Step 4: Simplify right side
    900,064x = 1,602,452,174,400
  5. Step 5: Solve for x
    x = 1,602,452,174,400/900,064
  6. Step 6: Final answer
    x = 1,780,375.81

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.