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Finding the Third Proportional to 704,450 and 1,523,748

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Solution

The third proportional to 704,450 and 1,523,748 is: 3,295,915.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,450 : 1,523,748 = 1,523,748 : x
  2. Step 2: Convert to fraction form
    704,450/1,523,748 = 1,523,748/x
  3. Step 3: Cross multiply
    704,450x = 1,523,748 × 1,523,748
  4. Step 4: Simplify right side
    704,450x = 2,321,807,967,504
  5. Step 5: Solve for x
    x = 2,321,807,967,504/704,450
  6. Step 6: Final answer
    x = 3,295,915.92

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.