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Finding the Third Proportional to 460,479,176 and 708,504,044

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Solution

The third proportional to 460,479,176 and 708,504,044 is: 1,090,120,914.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,479,176 : 708,504,044 = 708,504,044 : x
  2. Step 2: Convert to fraction form
    460,479,176/708,504,044 = 708,504,044/x
  3. Step 3: Cross multiply
    460,479,176x = 708,504,044 × 708,504,044
  4. Step 4: Simplify right side
    460,479,176x = 501,977,980,364,353,920
  5. Step 5: Solve for x
    x = 501,977,980,364,353,920/460,479,176
  6. Step 6: Final answer
    x = 1,090,120,914.32

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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.