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Finding the Third Proportional to 519,730 and 1,173,877

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Solution

The third proportional to 519,730 and 1,173,877 is: 2,651,352.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,730 : 1,173,877 = 1,173,877 : x
  2. Step 2: Convert to fraction form
    519,730/1,173,877 = 1,173,877/x
  3. Step 3: Cross multiply
    519,730x = 1,173,877 × 1,173,877
  4. Step 4: Simplify right side
    519,730x = 1,377,987,211,129
  5. Step 5: Solve for x
    x = 1,377,987,211,129/519,730
  6. Step 6: Final answer
    x = 2,651,352.07

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.