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Finding the Third Proportional to 500,582 and 1,072,390

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Solution

The third proportional to 500,582 and 1,072,390 is: 2,297,366.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,582 : 1,072,390 = 1,072,390 : x
  2. Step 2: Convert to fraction form
    500,582/1,072,390 = 1,072,390/x
  3. Step 3: Cross multiply
    500,582x = 1,072,390 × 1,072,390
  4. Step 4: Simplify right side
    500,582x = 1,150,020,312,100
  5. Step 5: Solve for x
    x = 1,150,020,312,100/500,582
  6. Step 6: Final answer
    x = 2,297,366.49

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.