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Finding the Third Proportional to 514,138 and 1,147,508

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Solution

The third proportional to 514,138 and 1,147,508 is: 2,561,130.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,138 : 1,147,508 = 1,147,508 : x
  2. Step 2: Convert to fraction form
    514,138/1,147,508 = 1,147,508/x
  3. Step 3: Cross multiply
    514,138x = 1,147,508 × 1,147,508
  4. Step 4: Simplify right side
    514,138x = 1,316,774,610,064
  5. Step 5: Solve for x
    x = 1,316,774,610,064/514,138
  6. Step 6: Final answer
    x = 2,561,130.69

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.