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Finding the Third Proportional to 292,873,578 and 642,014,292

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Solution

The third proportional to 292,873,578 and 642,014,292 is: 1,407,372,948.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,873,578 : 642,014,292 = 642,014,292 : x
  2. Step 2: Convert to fraction form
    292,873,578/642,014,292 = 642,014,292/x
  3. Step 3: Cross multiply
    292,873,578x = 642,014,292 × 642,014,292
  4. Step 4: Simplify right side
    292,873,578x = 412,182,351,132,261,248
  5. Step 5: Solve for x
    x = 412,182,351,132,261,248/292,873,578
  6. Step 6: Final answer
    x = 1,407,372,948.93

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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.