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Finding the Third Proportional to 1,458,560 and 2,207,964

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Solution

The third proportional to 1,458,560 and 2,207,964 is: 3,342,409.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,458,560 : 2,207,964 = 2,207,964 : x
  2. Step 2: Convert to fraction form
    1,458,560/2,207,964 = 2,207,964/x
  3. Step 3: Cross multiply
    1,458,560x = 2,207,964 × 2,207,964
  4. Step 4: Simplify right side
    1,458,560x = 4,875,105,025,296
  5. Step 5: Solve for x
    x = 4,875,105,025,296/1,458,560
  6. Step 6: Final answer
    x = 3,342,409.65

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.