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Finding the Third Proportional to 460,479,208 and 708,504,090

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Solution

The third proportional to 460,479,208 and 708,504,090 is: 1,090,120,980.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,479,208 : 708,504,090 = 708,504,090 : x
  2. Step 2: Convert to fraction form
    460,479,208/708,504,090 = 708,504,090/x
  3. Step 3: Cross multiply
    460,479,208x = 708,504,090 × 708,504,090
  4. Step 4: Simplify right side
    460,479,208x = 501,978,045,546,728,128
  5. Step 5: Solve for x
    x = 501,978,045,546,728,128/460,479,208
  6. Step 6: Final answer
    x = 1,090,120,980.11

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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.