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Finding the Third Proportional to 532,670.63 and 1,144,397.25

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Solution

The third proportional to 532,670.63 and 1,144,397.25 is: 2,458,639.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,670.63 : 1,144,397.25 = 1,144,397.25 : x
  2. Step 2: Convert to fraction form
    532,670.63/1,144,397.25 = 1,144,397.25/x
  3. Step 3: Cross multiply
    532,670.63x = 1,144,397.25 × 1,144,397.25
  4. Step 4: Simplify right side
    532,670.63x = 1,309,645,065,807.56
  5. Step 5: Solve for x
    x = 1,309,645,065,807.56/532,670.63
  6. Step 6: Final answer
    x = 2,458,639.55

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.