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Finding the Third Proportional to 346,488,920 and 770,447,174

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Solution

The third proportional to 346,488,920 and 770,447,174 is: 1,713,153,909.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,488,920 : 770,447,174 = 770,447,174 : x
  2. Step 2: Convert to fraction form
    346,488,920/770,447,174 = 770,447,174/x
  3. Step 3: Cross multiply
    346,488,920x = 770,447,174 × 770,447,174
  4. Step 4: Simplify right side
    346,488,920x = 593,588,847,924,586,240
  5. Step 5: Solve for x
    x = 593,588,847,924,586,240/346,488,920
  6. Step 6: Final answer
    x = 1,713,153,909.58

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.