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Finding the Third Proportional to 923,165 and 1,354,792

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Solution

The third proportional to 923,165 and 1,354,792 is: 1,988,226.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    923,165 : 1,354,792 = 1,354,792 : x
  2. Step 2: Convert to fraction form
    923,165/1,354,792 = 1,354,792/x
  3. Step 3: Cross multiply
    923,165x = 1,354,792 × 1,354,792
  4. Step 4: Simplify right side
    923,165x = 1,835,461,363,264
  5. Step 5: Solve for x
    x = 1,835,461,363,264/923,165
  6. Step 6: Final answer
    x = 1,988,226.77

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.