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Finding the Third Proportional to 459,085,465 and 983,665,499

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Solution

The third proportional to 459,085,465 and 983,665,499 is: 2,107,663,796.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,085,465 : 983,665,499 = 983,665,499 : x
  2. Step 2: Convert to fraction form
    459,085,465/983,665,499 = 983,665,499/x
  3. Step 3: Cross multiply
    459,085,465x = 983,665,499 × 983,665,499
  4. Step 4: Simplify right side
    459,085,465x = 967,597,813,922,919,040
  5. Step 5: Solve for x
    x = 967,597,813,922,919,040/459,085,465
  6. Step 6: Final answer
    x = 2,107,663,796.16

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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.