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Finding the Third Proportional to 1,921,652 and 2,947,604

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Solution

The third proportional to 1,921,652 and 2,947,604 is: 4,521,302.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,921,652 : 2,947,604 = 2,947,604 : x
  2. Step 2: Convert to fraction form
    1,921,652/2,947,604 = 2,947,604/x
  3. Step 3: Cross multiply
    1,921,652x = 2,947,604 × 2,947,604
  4. Step 4: Simplify right side
    1,921,652x = 8,688,369,340,816
  5. Step 5: Solve for x
    x = 8,688,369,340,816/1,921,652
  6. Step 6: Final answer
    x = 4,521,302.16

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.