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Finding the Third Proportional to 705,469 and 1,064,565

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Solution

The third proportional to 705,469 and 1,064,565 is: 1,606,447.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,469 : 1,064,565 = 1,064,565 : x
  2. Step 2: Convert to fraction form
    705,469/1,064,565 = 1,064,565/x
  3. Step 3: Cross multiply
    705,469x = 1,064,565 × 1,064,565
  4. Step 4: Simplify right side
    705,469x = 1,133,298,639,225
  5. Step 5: Solve for x
    x = 1,133,298,639,225/705,469
  6. Step 6: Final answer
    x = 1,606,447.11

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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.