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Finding the Third Proportional to 668,793,920 and 1,033,011,406

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Solution

The third proportional to 668,793,920 and 1,033,011,406 is: 1,595,577,550.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,793,920 : 1,033,011,406 = 1,033,011,406 : x
  2. Step 2: Convert to fraction form
    668,793,920/1,033,011,406 = 1,033,011,406/x
  3. Step 3: Cross multiply
    668,793,920x = 1,033,011,406 × 1,033,011,406
  4. Step 4: Simplify right side
    668,793,920x = 1,067,112,564,926,096,896
  5. Step 5: Solve for x
    x = 1,067,112,564,926,096,896/668,793,920
  6. Step 6: Final answer
    x = 1,595,577,550.89

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.