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Finding the Third Proportional to 1,641,378 and 2,565,747

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Solution

The third proportional to 1,641,378 and 2,565,747 is: 4,010,689.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,641,378 : 2,565,747 = 2,565,747 : x
  2. Step 2: Convert to fraction form
    1,641,378/2,565,747 = 2,565,747/x
  3. Step 3: Cross multiply
    1,641,378x = 2,565,747 × 2,565,747
  4. Step 4: Simplify right side
    1,641,378x = 6,583,057,668,009
  5. Step 5: Solve for x
    x = 6,583,057,668,009/1,641,378
  6. Step 6: Final answer
    x = 4,010,689.60

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.