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Finding the Third Proportional to 476,598,160 and 1,028,473,184

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Solution

The third proportional to 476,598,160 and 1,028,473,184 is: 2,219,389,789.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,598,160 : 1,028,473,184 = 1,028,473,184 : x
  2. Step 2: Convert to fraction form
    476,598,160/1,028,473,184 = 1,028,473,184/x
  3. Step 3: Cross multiply
    476,598,160x = 1,028,473,184 × 1,028,473,184
  4. Step 4: Simplify right side
    476,598,160x = 1,057,757,090,207,097,856
  5. Step 5: Solve for x
    x = 1,057,757,090,207,097,856/476,598,160
  6. Step 6: Final answer
    x = 2,219,389,789.94

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.