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Finding the Third Proportional to 502,704 and 1,077,369

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Solution

The third proportional to 502,704 and 1,077,369 is: 2,308,961.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,704 : 1,077,369 = 1,077,369 : x
  2. Step 2: Convert to fraction form
    502,704/1,077,369 = 1,077,369/x
  3. Step 3: Cross multiply
    502,704x = 1,077,369 × 1,077,369
  4. Step 4: Simplify right side
    502,704x = 1,160,723,962,161
  5. Step 5: Solve for x
    x = 1,160,723,962,161/502,704
  6. Step 6: Final answer
    x = 2,308,961.06

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.