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Finding the Third Proportional to 478,660,716 and 1,048,123,120

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Solution

The third proportional to 478,660,716 and 1,048,123,120 is: 2,295,074,648.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,660,716 : 1,048,123,120 = 1,048,123,120 : x
  2. Step 2: Convert to fraction form
    478,660,716/1,048,123,120 = 1,048,123,120/x
  3. Step 3: Cross multiply
    478,660,716x = 1,048,123,120 × 1,048,123,120
  4. Step 4: Simplify right side
    478,660,716x = 1,098,562,074,678,534,400
  5. Step 5: Solve for x
    x = 1,098,562,074,678,534,400/478,660,716
  6. Step 6: Final answer
    x = 2,295,074,648.82

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.