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Finding the Third Proportional to 292,546,788 and 609,307,500

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Solution

The third proportional to 292,546,788 and 609,307,500 is: 1,269,047,020.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,546,788 : 609,307,500 = 609,307,500 : x
  2. Step 2: Convert to fraction form
    292,546,788/609,307,500 = 609,307,500/x
  3. Step 3: Cross multiply
    292,546,788x = 609,307,500 × 609,307,500
  4. Step 4: Simplify right side
    292,546,788x = 371,255,629,556,249,984
  5. Step 5: Solve for x
    x = 371,255,629,556,249,984/292,546,788
  6. Step 6: Final answer
    x = 1,269,047,020.12

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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.