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Finding the Third Proportional to 525,202 and 1,145,460

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Solution

The third proportional to 525,202 and 1,145,460 is: 2,498,236.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,202 : 1,145,460 = 1,145,460 : x
  2. Step 2: Convert to fraction form
    525,202/1,145,460 = 1,145,460/x
  3. Step 3: Cross multiply
    525,202x = 1,145,460 × 1,145,460
  4. Step 4: Simplify right side
    525,202x = 1,312,078,611,600
  5. Step 5: Solve for x
    x = 1,312,078,611,600/525,202
  6. Step 6: Final answer
    x = 2,498,236.13

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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.