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Finding the Third Proportional to 1,004,752,084 and 1,357,082,414

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Solution

The third proportional to 1,004,752,084 and 1,357,082,414 is: 1,832,962,287.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004,752,084 : 1,357,082,414 = 1,357,082,414 : x
  2. Step 2: Convert to fraction form
    1,004,752,084/1,357,082,414 = 1,357,082,414/x
  3. Step 3: Cross multiply
    1,004,752,084x = 1,357,082,414 × 1,357,082,414
  4. Step 4: Simplify right side
    1,004,752,084x = 1,841,672,678,388,067,328
  5. Step 5: Solve for x
    x = 1,841,672,678,388,067,328/1,004,752,084
  6. Step 6: Final answer
    x = 1,832,962,287.63

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.