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Finding the Third Proportional to 514,377 and 1,128,141

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Solution

The third proportional to 514,377 and 1,128,141 is: 2,474,259.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,377 : 1,128,141 = 1,128,141 : x
  2. Step 2: Convert to fraction form
    514,377/1,128,141 = 1,128,141/x
  3. Step 3: Cross multiply
    514,377x = 1,128,141 × 1,128,141
  4. Step 4: Simplify right side
    514,377x = 1,272,702,115,881
  5. Step 5: Solve for x
    x = 1,272,702,115,881/514,377
  6. Step 6: Final answer
    x = 2,474,259.38

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.