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Finding the Third Proportional to 486,457,686 and 753,875,479

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Solution

The third proportional to 486,457,686 and 753,875,479 is: 1,168,299,431.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,457,686 : 753,875,479 = 753,875,479 : x
  2. Step 2: Convert to fraction form
    486,457,686/753,875,479 = 753,875,479/x
  3. Step 3: Cross multiply
    486,457,686x = 753,875,479 × 753,875,479
  4. Step 4: Simplify right side
    486,457,686x = 568,328,237,837,479,424
  5. Step 5: Solve for x
    x = 568,328,237,837,479,424/486,457,686
  6. Step 6: Final answer
    x = 1,168,299,431.16

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.