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Finding the Third Proportional to 3,370,588 and 4,769,278

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Solution

The third proportional to 3,370,588 and 4,769,278 is: 6,748,381.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,370,588 : 4,769,278 = 4,769,278 : x
  2. Step 2: Convert to fraction form
    3,370,588/4,769,278 = 4,769,278/x
  3. Step 3: Cross multiply
    3,370,588x = 4,769,278 × 4,769,278
  4. Step 4: Simplify right side
    3,370,588x = 22,746,012,641,284
  5. Step 5: Solve for x
    x = 22,746,012,641,284/3,370,588
  6. Step 6: Final answer
    x = 6,748,381.18

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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.