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Finding the Third Proportional to 432,206 and 1,004,789

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Solution

The third proportional to 432,206 and 1,004,789 is: 2,335,925.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,206 : 1,004,789 = 1,004,789 : x
  2. Step 2: Convert to fraction form
    432,206/1,004,789 = 1,004,789/x
  3. Step 3: Cross multiply
    432,206x = 1,004,789 × 1,004,789
  4. Step 4: Simplify right side
    432,206x = 1,009,600,934,521
  5. Step 5: Solve for x
    x = 1,009,600,934,521/432,206
  6. Step 6: Final answer
    x = 2,335,925.31

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.