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Finding the Third Proportional to 557,766 and 1,148,553

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Solution

The third proportional to 557,766 and 1,148,553 is: 2,365,102.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,766 : 1,148,553 = 1,148,553 : x
  2. Step 2: Convert to fraction form
    557,766/1,148,553 = 1,148,553/x
  3. Step 3: Cross multiply
    557,766x = 1,148,553 × 1,148,553
  4. Step 4: Simplify right side
    557,766x = 1,319,173,993,809
  5. Step 5: Solve for x
    x = 1,319,173,993,809/557,766
  6. Step 6: Final answer
    x = 2,365,102.92

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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.