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Finding the Third Proportional to 486,457,684 and 753,875,476

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Solution

The third proportional to 486,457,684 and 753,875,476 is: 1,168,299,426.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,457,684 : 753,875,476 = 753,875,476 : x
  2. Step 2: Convert to fraction form
    486,457,684/753,875,476 = 753,875,476/x
  3. Step 3: Cross multiply
    486,457,684x = 753,875,476 × 753,875,476
  4. Step 4: Simplify right side
    486,457,684x = 568,328,233,314,226,560
  5. Step 5: Solve for x
    x = 568,328,233,314,226,560/486,457,684
  6. Step 6: Final answer
    x = 1,168,299,426.67

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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.