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Finding the Third Proportional to 530,072 and 1,153,456

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Solution

The third proportional to 530,072 and 1,153,456 is: 2,509,962.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,072 : 1,153,456 = 1,153,456 : x
  2. Step 2: Convert to fraction form
    530,072/1,153,456 = 1,153,456/x
  3. Step 3: Cross multiply
    530,072x = 1,153,456 × 1,153,456
  4. Step 4: Simplify right side
    530,072x = 1,330,460,743,936
  5. Step 5: Solve for x
    x = 1,330,460,743,936/530,072
  6. Step 6: Final answer
    x = 2,509,962.31

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.