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Finding the Third Proportional to 530,590 and 1,092,284

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Solution

The third proportional to 530,590 and 1,092,284 is: 2,248,599.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,590 : 1,092,284 = 1,092,284 : x
  2. Step 2: Convert to fraction form
    530,590/1,092,284 = 1,092,284/x
  3. Step 3: Cross multiply
    530,590x = 1,092,284 × 1,092,284
  4. Step 4: Simplify right side
    530,590x = 1,193,084,336,656
  5. Step 5: Solve for x
    x = 1,193,084,336,656/530,590
  6. Step 6: Final answer
    x = 2,248,599.36

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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.