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Finding the Third Proportional to 690,106 and 1,501,712

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Solution

The third proportional to 690,106 and 1,501,712 is: 3,267,815.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    690,106 : 1,501,712 = 1,501,712 : x
  2. Step 2: Convert to fraction form
    690,106/1,501,712 = 1,501,712/x
  3. Step 3: Cross multiply
    690,106x = 1,501,712 × 1,501,712
  4. Step 4: Simplify right side
    690,106x = 2,255,138,930,944
  5. Step 5: Solve for x
    x = 2,255,138,930,944/690,106
  6. Step 6: Final answer
    x = 3,267,815.28

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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.