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Finding the Third Proportional to 705,246.75 and 1,064,431.13

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Solution

The third proportional to 705,246.75 and 1,064,431.13 is: 1,606,549.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,246.75 : 1,064,431.13 = 1,064,431.13 : x
  2. Step 2: Convert to fraction form
    705,246.75/1,064,431.13 = 1,064,431.13/x
  3. Step 3: Cross multiply
    705,246.75x = 1,064,431.13 × 1,064,431.13
  4. Step 4: Simplify right side
    705,246.75x = 1,133,013,619,868.77
  5. Step 5: Solve for x
    x = 1,133,013,619,868.77/705,246.75
  6. Step 6: Final answer
    x = 1,606,549.23

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.