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Finding the Third Proportional to 670,856,406.75 and 1,434,980,693.25

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Solution

The third proportional to 670,856,406.75 and 1,434,980,693.25 is: 3,069,464,000.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    670,856,406.75 : 1,434,980,693.25 = 1,434,980,693.25 : x
  2. Step 2: Convert to fraction form
    670,856,406.75/1,434,980,693.25 = 1,434,980,693.25/x
  3. Step 3: Cross multiply
    670,856,406.75x = 1,434,980,693.25 × 1,434,980,693.25
  4. Step 4: Simplify right side
    670,856,406.75x = 2,059,169,590,000,250,624
  5. Step 5: Solve for x
    x = 2,059,169,590,000,250,624/670,856,406.75
  6. Step 6: Final answer
    x = 3,069,464,000.46

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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.