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Finding the Third Proportional to 690,592 and 1,509,270

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Solution

The third proportional to 690,592 and 1,509,270 is: 3,298,468.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    690,592 : 1,509,270 = 1,509,270 : x
  2. Step 2: Convert to fraction form
    690,592/1,509,270 = 1,509,270/x
  3. Step 3: Cross multiply
    690,592x = 1,509,270 × 1,509,270
  4. Step 4: Simplify right side
    690,592x = 2,277,895,932,900
  5. Step 5: Solve for x
    x = 2,277,895,932,900/690,592
  6. Step 6: Final answer
    x = 3,298,468.46

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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.