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Finding the Third Proportional to 900,937 and 1,213,503

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Solution

The third proportional to 900,937 and 1,213,503 is: 1,634,508.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    900,937 : 1,213,503 = 1,213,503 : x
  2. Step 2: Convert to fraction form
    900,937/1,213,503 = 1,213,503/x
  3. Step 3: Cross multiply
    900,937x = 1,213,503 × 1,213,503
  4. Step 4: Simplify right side
    900,937x = 1,472,589,531,009
  5. Step 5: Solve for x
    x = 1,472,589,531,009/900,937
  6. Step 6: Final answer
    x = 1,634,508.88

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.