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Finding the Third Proportional to 884,769 and 1,334,403

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Solution

The third proportional to 884,769 and 1,334,403 is: 2,012,538.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    884,769 : 1,334,403 = 1,334,403 : x
  2. Step 2: Convert to fraction form
    884,769/1,334,403 = 1,334,403/x
  3. Step 3: Cross multiply
    884,769x = 1,334,403 × 1,334,403
  4. Step 4: Simplify right side
    884,769x = 1,780,631,366,409
  5. Step 5: Solve for x
    x = 1,780,631,366,409/884,769
  6. Step 6: Final answer
    x = 2,012,538.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.