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Finding the Third Proportional to 501,423 and 1,072,830

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Solution

The third proportional to 501,423 and 1,072,830 is: 2,295,395.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,423 : 1,072,830 = 1,072,830 : x
  2. Step 2: Convert to fraction form
    501,423/1,072,830 = 1,072,830/x
  3. Step 3: Cross multiply
    501,423x = 1,072,830 × 1,072,830
  4. Step 4: Simplify right side
    501,423x = 1,150,964,208,900
  5. Step 5: Solve for x
    x = 1,150,964,208,900/501,423
  6. Step 6: Final answer
    x = 2,295,395.72

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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.