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Finding the Third Proportional to 314,559,134 and 689,584,444

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Solution

The third proportional to 314,559,134 and 689,584,444 is: 1,511,724,359.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,559,134 : 689,584,444 = 689,584,444 : x
  2. Step 2: Convert to fraction form
    314,559,134/689,584,444 = 689,584,444/x
  3. Step 3: Cross multiply
    314,559,134x = 689,584,444 × 689,584,444
  4. Step 4: Simplify right side
    314,559,134x = 475,526,705,406,789,120
  5. Step 5: Solve for x
    x = 475,526,705,406,789,120/314,559,134
  6. Step 6: Final answer
    x = 1,511,724,359.61

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.