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Finding the Third Proportional to 614,382 and 1,346,865

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Solution

The third proportional to 614,382 and 1,346,865 is: 2,952,634.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,382 : 1,346,865 = 1,346,865 : x
  2. Step 2: Convert to fraction form
    614,382/1,346,865 = 1,346,865/x
  3. Step 3: Cross multiply
    614,382x = 1,346,865 × 1,346,865
  4. Step 4: Simplify right side
    614,382x = 1,814,045,328,225
  5. Step 5: Solve for x
    x = 1,814,045,328,225/614,382
  6. Step 6: Final answer
    x = 2,952,634.24

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.