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Finding the Third Proportional to 676,000 and 1,468,784

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Solution

The third proportional to 676,000 and 1,468,784 is: 3,191,311.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    676,000 : 1,468,784 = 1,468,784 : x
  2. Step 2: Convert to fraction form
    676,000/1,468,784 = 1,468,784/x
  3. Step 3: Cross multiply
    676,000x = 1,468,784 × 1,468,784
  4. Step 4: Simplify right side
    676,000x = 2,157,326,438,656
  5. Step 5: Solve for x
    x = 2,157,326,438,656/676,000
  6. Step 6: Final answer
    x = 3,191,311.30

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.