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Finding the Third Proportional to 1,780,584 and 3,945,432

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Solution

The third proportional to 1,780,584 and 3,945,432 is: 8,742,319.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,780,584 : 3,945,432 = 3,945,432 : x
  2. Step 2: Convert to fraction form
    1,780,584/3,945,432 = 3,945,432/x
  3. Step 3: Cross multiply
    1,780,584x = 3,945,432 × 3,945,432
  4. Step 4: Simplify right side
    1,780,584x = 15,566,433,666,624
  5. Step 5: Solve for x
    x = 15,566,433,666,624/1,780,584
  6. Step 6: Final answer
    x = 8,742,319.19

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.