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Finding the Third Proportional to 516,402 and 1,118,588

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Solution

The third proportional to 516,402 and 1,118,588 is: 2,422,994.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,402 : 1,118,588 = 1,118,588 : x
  2. Step 2: Convert to fraction form
    516,402/1,118,588 = 1,118,588/x
  3. Step 3: Cross multiply
    516,402x = 1,118,588 × 1,118,588
  4. Step 4: Simplify right side
    516,402x = 1,251,239,113,744
  5. Step 5: Solve for x
    x = 1,251,239,113,744/516,402
  6. Step 6: Final answer
    x = 2,422,994.32

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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.