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Finding the Third Proportional to 1,536,542.63 and 3,319,276.54

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Solution

The third proportional to 1,536,542.63 and 3,319,276.54 is: 7,170,381.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,536,542.63 : 3,319,276.54 = 3,319,276.54 : x
  2. Step 2: Convert to fraction form
    1,536,542.63/3,319,276.54 = 3,319,276.54/x
  3. Step 3: Cross multiply
    1,536,542.63x = 3,319,276.54 × 3,319,276.54
  4. Step 4: Simplify right side
    1,536,542.63x = 11,017,596,716,838.55
  5. Step 5: Solve for x
    x = 11,017,596,716,838.55/1,536,542.63
  6. Step 6: Final answer
    x = 7,170,381.41

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.