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Finding the Third Proportional to 900,072 and 1,265,892

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Solution

The third proportional to 900,072 and 1,265,892 is: 1,780,393.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    900,072 : 1,265,892 = 1,265,892 : x
  2. Step 2: Convert to fraction form
    900,072/1,265,892 = 1,265,892/x
  3. Step 3: Cross multiply
    900,072x = 1,265,892 × 1,265,892
  4. Step 4: Simplify right side
    900,072x = 1,602,482,555,664
  5. Step 5: Solve for x
    x = 1,602,482,555,664/900,072
  6. Step 6: Final answer
    x = 1,780,393.74

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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.