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Finding the Third Proportional to 983,254.31 and 2,145,235.13

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Solution

The third proportional to 983,254.31 and 2,145,235.13 is: 4,680,410.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    983,254.31 : 2,145,235.13 = 2,145,235.13 : x
  2. Step 2: Convert to fraction form
    983,254.31/2,145,235.13 = 2,145,235.13/x
  3. Step 3: Cross multiply
    983,254.31x = 2,145,235.13 × 2,145,235.13
  4. Step 4: Simplify right side
    983,254.31x = 4,602,033,741,533.77
  5. Step 5: Solve for x
    x = 4,602,033,741,533.77/983,254.31
  6. Step 6: Final answer
    x = 4,680,410.43

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Why These Related Problems?

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