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Finding the Third Proportional to 532,029 and 1,167,440

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Solution

The third proportional to 532,029 and 1,167,440 is: 2,561,732.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,029 : 1,167,440 = 1,167,440 : x
  2. Step 2: Convert to fraction form
    532,029/1,167,440 = 1,167,440/x
  3. Step 3: Cross multiply
    532,029x = 1,167,440 × 1,167,440
  4. Step 4: Simplify right side
    532,029x = 1,362,916,153,600
  5. Step 5: Solve for x
    x = 1,362,916,153,600/532,029
  6. Step 6: Final answer
    x = 2,561,732.83

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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.