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Finding the Third Proportional to 1,382,658 and 2,875,680

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Solution

The third proportional to 1,382,658 and 2,875,680 is: 5,980,897.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,382,658 : 2,875,680 = 2,875,680 : x
  2. Step 2: Convert to fraction form
    1,382,658/2,875,680 = 2,875,680/x
  3. Step 3: Cross multiply
    1,382,658x = 2,875,680 × 2,875,680
  4. Step 4: Simplify right side
    1,382,658x = 8,269,535,462,400
  5. Step 5: Solve for x
    x = 8,269,535,462,400/1,382,658
  6. Step 6: Final answer
    x = 5,980,897.27

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.