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Finding the Third Proportional to 292,349,074 and 650,062,522

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Solution

The third proportional to 292,349,074 and 650,062,522 is: 1,445,468,175.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,349,074 : 650,062,522 = 650,062,522 : x
  2. Step 2: Convert to fraction form
    292,349,074/650,062,522 = 650,062,522/x
  3. Step 3: Cross multiply
    292,349,074x = 650,062,522 × 650,062,522
  4. Step 4: Simplify right side
    292,349,074x = 422,581,282,509,000,512
  5. Step 5: Solve for x
    x = 422,581,282,509,000,512/292,349,074
  6. Step 6: Final answer
    x = 1,445,468,175.18

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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.