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Finding the Third Proportional to 430,011.28 and 935,686.69

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Solution

The third proportional to 430,011.28 and 935,686.69 is: 2,036,015.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,011.28 : 935,686.69 = 935,686.69 : x
  2. Step 2: Convert to fraction form
    430,011.28/935,686.69 = 935,686.69/x
  3. Step 3: Cross multiply
    430,011.28x = 935,686.69 × 935,686.69
  4. Step 4: Simplify right side
    430,011.28x = 875,509,577,164.72
  5. Step 5: Solve for x
    x = 875,509,577,164.72/430,011.28
  6. Step 6: Final answer
    x = 2,036,015.37

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.