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Finding the Third Proportional to 459,085,464 and 983,665,498

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Solution

The third proportional to 459,085,464 and 983,665,498 is: 2,107,663,796.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,085,464 : 983,665,498 = 983,665,498 : x
  2. Step 2: Convert to fraction form
    459,085,464/983,665,498 = 983,665,498/x
  3. Step 3: Cross multiply
    459,085,464x = 983,665,498 × 983,665,498
  4. Step 4: Simplify right side
    459,085,464x = 967,597,811,955,587,968
  5. Step 5: Solve for x
    x = 967,597,811,955,587,968/459,085,464
  6. Step 6: Final answer
    x = 2,107,663,796.46

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.