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Finding the Third Proportional to 530,140 and 1,104,988

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Solution

The third proportional to 530,140 and 1,104,988 is: 2,303,162.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,140 : 1,104,988 = 1,104,988 : x
  2. Step 2: Convert to fraction form
    530,140/1,104,988 = 1,104,988/x
  3. Step 3: Cross multiply
    530,140x = 1,104,988 × 1,104,988
  4. Step 4: Simplify right side
    530,140x = 1,220,998,480,144
  5. Step 5: Solve for x
    x = 1,220,998,480,144/530,140
  6. Step 6: Final answer
    x = 2,303,162.33

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.