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Finding the Third Proportional to 514,034 and 1,113,877

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Solution

The third proportional to 514,034 and 1,113,877 is: 2,413,696.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,034 : 1,113,877 = 1,113,877 : x
  2. Step 2: Convert to fraction form
    514,034/1,113,877 = 1,113,877/x
  3. Step 3: Cross multiply
    514,034x = 1,113,877 × 1,113,877
  4. Step 4: Simplify right side
    514,034x = 1,240,721,971,129
  5. Step 5: Solve for x
    x = 1,240,721,971,129/514,034
  6. Step 6: Final answer
    x = 2,413,696.31

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.