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Finding the Third Proportional to 690,072 and 1,501,644

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Solution

The third proportional to 690,072 and 1,501,644 is: 3,267,680.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    690,072 : 1,501,644 = 1,501,644 : x
  2. Step 2: Convert to fraction form
    690,072/1,501,644 = 1,501,644/x
  3. Step 3: Cross multiply
    690,072x = 1,501,644 × 1,501,644
  4. Step 4: Simplify right side
    690,072x = 2,254,934,702,736
  5. Step 5: Solve for x
    x = 2,254,934,702,736/690,072
  6. Step 6: Final answer
    x = 3,267,680.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.