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Finding the Third Proportional to 557,829 and 1,148,670

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Solution

The third proportional to 557,829 and 1,148,670 is: 2,365,317.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,829 : 1,148,670 = 1,148,670 : x
  2. Step 2: Convert to fraction form
    557,829/1,148,670 = 1,148,670/x
  3. Step 3: Cross multiply
    557,829x = 1,148,670 × 1,148,670
  4. Step 4: Simplify right side
    557,829x = 1,319,442,768,900
  5. Step 5: Solve for x
    x = 1,319,442,768,900/557,829
  6. Step 6: Final answer
    x = 2,365,317.63

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.