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Finding the Third Proportional to 530,152 and 1,105,012

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Solution

The third proportional to 530,152 and 1,105,012 is: 2,303,210.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,152 : 1,105,012 = 1,105,012 : x
  2. Step 2: Convert to fraction form
    530,152/1,105,012 = 1,105,012/x
  3. Step 3: Cross multiply
    530,152x = 1,105,012 × 1,105,012
  4. Step 4: Simplify right side
    530,152x = 1,221,051,520,144
  5. Step 5: Solve for x
    x = 1,221,051,520,144/530,152
  6. Step 6: Final answer
    x = 2,303,210.25

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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.