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Finding the Third Proportional to 668,031.68 and 1,430,651.11

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Solution

The third proportional to 668,031.68 and 1,430,651.11 is: 3,063,870.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,031.68 : 1,430,651.11 = 1,430,651.11 : x
  2. Step 2: Convert to fraction form
    668,031.68/1,430,651.11 = 1,430,651.11/x
  3. Step 3: Cross multiply
    668,031.68x = 1,430,651.11 × 1,430,651.11
  4. Step 4: Simplify right side
    668,031.68x = 2,046,762,596,755.92
  5. Step 5: Solve for x
    x = 2,046,762,596,755.92/668,031.68
  6. Step 6: Final answer
    x = 3,063,870.56

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.