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Finding the Third Proportional to 824,537 and 1,261,328

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Solution

The third proportional to 824,537 and 1,261,328 is: 1,929,505.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    824,537 : 1,261,328 = 1,261,328 : x
  2. Step 2: Convert to fraction form
    824,537/1,261,328 = 1,261,328/x
  3. Step 3: Cross multiply
    824,537x = 1,261,328 × 1,261,328
  4. Step 4: Simplify right side
    824,537x = 1,590,948,323,584
  5. Step 5: Solve for x
    x = 1,590,948,323,584/824,537
  6. Step 6: Final answer
    x = 1,929,505.07

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.