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Finding the Third Proportional to 525,432 and 1,152,546

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Solution

The third proportional to 525,432 and 1,152,546 is: 2,528,133.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,432 : 1,152,546 = 1,152,546 : x
  2. Step 2: Convert to fraction form
    525,432/1,152,546 = 1,152,546/x
  3. Step 3: Cross multiply
    525,432x = 1,152,546 × 1,152,546
  4. Step 4: Simplify right side
    525,432x = 1,328,362,282,116
  5. Step 5: Solve for x
    x = 1,328,362,282,116/525,432
  6. Step 6: Final answer
    x = 2,528,133.58

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Why These Related Problems?

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