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Finding the Third Proportional to 319,106,884 and 698,748,210

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Solution

The third proportional to 319,106,884 and 698,748,210 is: 1,530,048,662.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,106,884 : 698,748,210 = 698,748,210 : x
  2. Step 2: Convert to fraction form
    319,106,884/698,748,210 = 698,748,210/x
  3. Step 3: Cross multiply
    319,106,884x = 698,748,210 × 698,748,210
  4. Step 4: Simplify right side
    319,106,884x = 488,249,060,978,204,096
  5. Step 5: Solve for x
    x = 488,249,060,978,204,096/319,106,884
  6. Step 6: Final answer
    x = 1,530,048,662.25

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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.