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Finding the Third Proportional to 869,008 and 1,272,403

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Solution

The third proportional to 869,008 and 1,272,403 is: 1,863,054.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    869,008 : 1,272,403 = 1,272,403 : x
  2. Step 2: Convert to fraction form
    869,008/1,272,403 = 1,272,403/x
  3. Step 3: Cross multiply
    869,008x = 1,272,403 × 1,272,403
  4. Step 4: Simplify right side
    869,008x = 1,619,009,394,409
  5. Step 5: Solve for x
    x = 1,619,009,394,409/869,008
  6. Step 6: Final answer
    x = 1,863,054.65

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.