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Finding the Third Proportional to 689,098,556 and 1,059,192,210

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Solution

The third proportional to 689,098,556 and 1,059,192,210 is: 1,628,051,790.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,098,556 : 1,059,192,210 = 1,059,192,210 : x
  2. Step 2: Convert to fraction form
    689,098,556/1,059,192,210 = 1,059,192,210/x
  3. Step 3: Cross multiply
    689,098,556x = 1,059,192,210 × 1,059,192,210
  4. Step 4: Simplify right side
    689,098,556x = 1,121,888,137,724,684,160
  5. Step 5: Solve for x
    x = 1,121,888,137,724,684,160/689,098,556
  6. Step 6: Final answer
    x = 1,628,051,790.21

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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.