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Finding the Third Proportional to 525,599 and 1,152,934

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Solution

The third proportional to 525,599 and 1,152,934 is: 2,529,032.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,599 : 1,152,934 = 1,152,934 : x
  2. Step 2: Convert to fraction form
    525,599/1,152,934 = 1,152,934/x
  3. Step 3: Cross multiply
    525,599x = 1,152,934 × 1,152,934
  4. Step 4: Simplify right side
    525,599x = 1,329,256,808,356
  5. Step 5: Solve for x
    x = 1,329,256,808,356/525,599
  6. Step 6: Final answer
    x = 2,529,032.22

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.