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Finding the Third Proportional to 459,595,304 and 983,750,820

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Solution

The third proportional to 459,595,304 and 983,750,820 is: 2,105,690,957.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,595,304 : 983,750,820 = 983,750,820 : x
  2. Step 2: Convert to fraction form
    459,595,304/983,750,820 = 983,750,820/x
  3. Step 3: Cross multiply
    459,595,304x = 983,750,820 × 983,750,820
  4. Step 4: Simplify right side
    459,595,304x = 967,765,675,850,672,384
  5. Step 5: Solve for x
    x = 967,765,675,850,672,384/459,595,304
  6. Step 6: Final answer
    x = 2,105,690,957.74

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Why These Related Problems?

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