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Finding the Third Proportional to 639,113.50 and 1,017,448.63

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Solution

The third proportional to 639,113.50 and 1,017,448.63 is: 1,619,746.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    639,113.50 : 1,017,448.63 = 1,017,448.63 : x
  2. Step 2: Convert to fraction form
    639,113.50/1,017,448.63 = 1,017,448.63/x
  3. Step 3: Cross multiply
    639,113.50x = 1,017,448.63 × 1,017,448.63
  4. Step 4: Simplify right side
    639,113.50x = 1,035,201,704,514.39
  5. Step 5: Solve for x
    x = 1,035,201,704,514.39/639,113.50
  6. Step 6: Final answer
    x = 1,619,746.26

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.