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Finding the Third Proportional to 3,370,593 and 4,769,283

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Solution

The third proportional to 3,370,593 and 4,769,283 is: 6,748,385.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,370,593 : 4,769,283 = 4,769,283 : x
  2. Step 2: Convert to fraction form
    3,370,593/4,769,283 = 4,769,283/x
  3. Step 3: Cross multiply
    3,370,593x = 4,769,283 × 4,769,283
  4. Step 4: Simplify right side
    3,370,593x = 22,746,060,334,089
  5. Step 5: Solve for x
    x = 22,746,060,334,089/3,370,593
  6. Step 6: Final answer
    x = 6,748,385.32

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.