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Finding the Third Proportional to 507,298 and 1,071,152

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Solution

The third proportional to 507,298 and 1,071,152 is: 2,261,721.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,298 : 1,071,152 = 1,071,152 : x
  2. Step 2: Convert to fraction form
    507,298/1,071,152 = 1,071,152/x
  3. Step 3: Cross multiply
    507,298x = 1,071,152 × 1,071,152
  4. Step 4: Simplify right side
    507,298x = 1,147,366,607,104
  5. Step 5: Solve for x
    x = 1,147,366,607,104/507,298
  6. Step 6: Final answer
    x = 2,261,721.13

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.