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Finding the Third Proportional to 530,498 and 1,033,924

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Solution

The third proportional to 530,498 and 1,033,924 is: 2,015,085.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,498 : 1,033,924 = 1,033,924 : x
  2. Step 2: Convert to fraction form
    530,498/1,033,924 = 1,033,924/x
  3. Step 3: Cross multiply
    530,498x = 1,033,924 × 1,033,924
  4. Step 4: Simplify right side
    530,498x = 1,068,998,837,776
  5. Step 5: Solve for x
    x = 1,068,998,837,776/530,498
  6. Step 6: Final answer
    x = 2,015,085.52

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.