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Finding the Third Proportional to 460,479,204 and 708,504,084

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Solution

The third proportional to 460,479,204 and 708,504,084 is: 1,090,120,971.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,479,204 : 708,504,084 = 708,504,084 : x
  2. Step 2: Convert to fraction form
    460,479,204/708,504,084 = 708,504,084/x
  3. Step 3: Cross multiply
    460,479,204x = 708,504,084 × 708,504,084
  4. Step 4: Simplify right side
    460,479,204x = 501,978,037,044,679,040
  5. Step 5: Solve for x
    x = 501,978,037,044,679,040/460,479,204
  6. Step 6: Final answer
    x = 1,090,120,971.12

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.