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Finding the Third Proportional to 504,532 and 1,103,792

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Solution

The third proportional to 504,532 and 1,103,792 is: 2,414,825.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,532 : 1,103,792 = 1,103,792 : x
  2. Step 2: Convert to fraction form
    504,532/1,103,792 = 1,103,792/x
  3. Step 3: Cross multiply
    504,532x = 1,103,792 × 1,103,792
  4. Step 4: Simplify right side
    504,532x = 1,218,356,779,264
  5. Step 5: Solve for x
    x = 1,218,356,779,264/504,532
  6. Step 6: Final answer
    x = 2,414,825.58

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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.