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Finding the Third Proportional to 614,634 and 1,330,354

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Solution

The third proportional to 614,634 and 1,330,354 is: 2,879,505.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,634 : 1,330,354 = 1,330,354 : x
  2. Step 2: Convert to fraction form
    614,634/1,330,354 = 1,330,354/x
  3. Step 3: Cross multiply
    614,634x = 1,330,354 × 1,330,354
  4. Step 4: Simplify right side
    614,634x = 1,769,841,765,316
  5. Step 5: Solve for x
    x = 1,769,841,765,316/614,634
  6. Step 6: Final answer
    x = 2,879,505.15

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.