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Finding the Third Proportional to 869,009.25 and 1,272,403.50

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Solution

The third proportional to 869,009.25 and 1,272,403.50 is: 1,863,053.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    869,009.25 : 1,272,403.50 = 1,272,403.50 : x
  2. Step 2: Convert to fraction form
    869,009.25/1,272,403.50 = 1,272,403.50/x
  3. Step 3: Cross multiply
    869,009.25x = 1,272,403.50 × 1,272,403.50
  4. Step 4: Simplify right side
    869,009.25x = 1,619,010,666,812.25
  5. Step 5: Solve for x
    x = 1,619,010,666,812.25/869,009.25
  6. Step 6: Final answer
    x = 1,863,053.43

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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.