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Finding the Third Proportional to 514,134 and 1,114,076

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Solution

The third proportional to 514,134 and 1,114,076 is: 2,414,089.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,134 : 1,114,076 = 1,114,076 : x
  2. Step 2: Convert to fraction form
    514,134/1,114,076 = 1,114,076/x
  3. Step 3: Cross multiply
    514,134x = 1,114,076 × 1,114,076
  4. Step 4: Simplify right side
    514,134x = 1,241,165,333,776
  5. Step 5: Solve for x
    x = 1,241,165,333,776/514,134
  6. Step 6: Final answer
    x = 2,414,089.19

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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.