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Finding the Third Proportional to 525,572 and 1,191,458

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Solution

The third proportional to 525,572 and 1,191,458 is: 2,701,004.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,572 : 1,191,458 = 1,191,458 : x
  2. Step 2: Convert to fraction form
    525,572/1,191,458 = 1,191,458/x
  3. Step 3: Cross multiply
    525,572x = 1,191,458 × 1,191,458
  4. Step 4: Simplify right side
    525,572x = 1,419,572,165,764
  5. Step 5: Solve for x
    x = 1,419,572,165,764/525,572
  6. Step 6: Final answer
    x = 2,701,004.17

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.