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Finding the Third Proportional to 580,080,594.94 and 920,043,814.78

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Solution

The third proportional to 580,080,594.94 and 920,043,814.78 is: 1,459,246,574.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,080,594.94 : 920,043,814.78 = 920,043,814.78 : x
  2. Step 2: Convert to fraction form
    580,080,594.94/920,043,814.78 = 920,043,814.78/x
  3. Step 3: Cross multiply
    580,080,594.94x = 920,043,814.78 × 920,043,814.78
  4. Step 4: Simplify right side
    580,080,594.94x = 846,480,621,117,235,072
  5. Step 5: Solve for x
    x = 846,480,621,117,235,072/580,080,594.94
  6. Step 6: Final answer
    x = 1,459,246,574.54

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.