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Finding the Third Proportional to 2,993,295 and 4,564,664

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Solution

The third proportional to 2,993,295 and 4,564,664 is: 6,960,943.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,993,295 : 4,564,664 = 4,564,664 : x
  2. Step 2: Convert to fraction form
    2,993,295/4,564,664 = 4,564,664/x
  3. Step 3: Cross multiply
    2,993,295x = 4,564,664 × 4,564,664
  4. Step 4: Simplify right side
    2,993,295x = 20,836,157,432,896
  5. Step 5: Solve for x
    x = 20,836,157,432,896/2,993,295
  6. Step 6: Final answer
    x = 6,960,943.52

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.