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Finding the Third Proportional to 557,785 and 1,148,582

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Solution

The third proportional to 557,785 and 1,148,582 is: 2,365,141.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,785 : 1,148,582 = 1,148,582 : x
  2. Step 2: Convert to fraction form
    557,785/1,148,582 = 1,148,582/x
  3. Step 3: Cross multiply
    557,785x = 1,148,582 × 1,148,582
  4. Step 4: Simplify right side
    557,785x = 1,319,240,610,724
  5. Step 5: Solve for x
    x = 1,319,240,610,724/557,785
  6. Step 6: Final answer
    x = 2,365,141.79

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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.