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Finding the Third Proportional to 653,045.63 and 1,008,682.88

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Solution

The third proportional to 653,045.63 and 1,008,682.88 is: 1,557,993.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,045.63 : 1,008,682.88 = 1,008,682.88 : x
  2. Step 2: Convert to fraction form
    653,045.63/1,008,682.88 = 1,008,682.88/x
  3. Step 3: Cross multiply
    653,045.63x = 1,008,682.88 × 1,008,682.88
  4. Step 4: Simplify right side
    653,045.63x = 1,017,441,142,318.27
  5. Step 5: Solve for x
    x = 1,017,441,142,318.27/653,045.63
  6. Step 6: Final answer
    x = 1,557,993.96

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.