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Finding the Third Proportional to 292,546,697 and 609,307,309

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Solution

The third proportional to 292,546,697 and 609,307,309 is: 1,269,046,619.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,546,697 : 609,307,309 = 609,307,309 : x
  2. Step 2: Convert to fraction form
    292,546,697/609,307,309 = 609,307,309/x
  3. Step 3: Cross multiply
    292,546,697x = 609,307,309 × 609,307,309
  4. Step 4: Simplify right side
    292,546,697x = 371,255,396,800,821,504
  5. Step 5: Solve for x
    x = 371,255,396,800,821,504/292,546,697
  6. Step 6: Final answer
    x = 1,269,046,619.25

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.