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Finding the Third Proportional to 625,271.63 and 1,272,642.75

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Solution

The third proportional to 625,271.63 and 1,272,642.75 is: 2,590,265.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    625,271.63 : 1,272,642.75 = 1,272,642.75 : x
  2. Step 2: Convert to fraction form
    625,271.63/1,272,642.75 = 1,272,642.75/x
  3. Step 3: Cross multiply
    625,271.63x = 1,272,642.75 × 1,272,642.75
  4. Step 4: Simplify right side
    625,271.63x = 1,619,619,569,127.56
  5. Step 5: Solve for x
    x = 1,619,619,569,127.56/625,271.63
  6. Step 6: Final answer
    x = 2,590,265.58

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.