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Finding the Third Proportional to 514,324 and 1,128,280

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Solution

The third proportional to 514,324 and 1,128,280 is: 2,475,124.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,324 : 1,128,280 = 1,128,280 : x
  2. Step 2: Convert to fraction form
    514,324/1,128,280 = 1,128,280/x
  3. Step 3: Cross multiply
    514,324x = 1,128,280 × 1,128,280
  4. Step 4: Simplify right side
    514,324x = 1,273,015,758,400
  5. Step 5: Solve for x
    x = 1,273,015,758,400/514,324
  6. Step 6: Final answer
    x = 2,475,124.16

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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.