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Finding the Third Proportional to 900,933 and 1,213,497

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Solution

The third proportional to 900,933 and 1,213,497 is: 1,634,499.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    900,933 : 1,213,497 = 1,213,497 : x
  2. Step 2: Convert to fraction form
    900,933/1,213,497 = 1,213,497/x
  3. Step 3: Cross multiply
    900,933x = 1,213,497 × 1,213,497
  4. Step 4: Simplify right side
    900,933x = 1,472,574,969,009
  5. Step 5: Solve for x
    x = 1,472,574,969,009/900,933
  6. Step 6: Final answer
    x = 1,634,499.98

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Why These Related Problems?

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