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Finding the Third Proportional to 501,428 and 1,072,844

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Solution

The third proportional to 501,428 and 1,072,844 is: 2,295,432.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,428 : 1,072,844 = 1,072,844 : x
  2. Step 2: Convert to fraction form
    501,428/1,072,844 = 1,072,844/x
  3. Step 3: Cross multiply
    501,428x = 1,072,844 × 1,072,844
  4. Step 4: Simplify right side
    501,428x = 1,150,994,248,336
  5. Step 5: Solve for x
    x = 1,150,994,248,336/501,428
  6. Step 6: Final answer
    x = 2,295,432.74

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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.