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Finding the Third Proportional to 1,023,497,444 and 1,572,204,276

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Solution

The third proportional to 1,023,497,444 and 1,572,204,276 is: 2,415,078,122.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023,497,444 : 1,572,204,276 = 1,572,204,276 : x
  2. Step 2: Convert to fraction form
    1,023,497,444/1,572,204,276 = 1,572,204,276/x
  3. Step 3: Cross multiply
    1,023,497,444x = 1,572,204,276 × 1,572,204,276
  4. Step 4: Simplify right side
    1,023,497,444x = 2,471,826,285,472,684,032
  5. Step 5: Solve for x
    x = 2,471,826,285,472,684,032/1,023,497,444
  6. Step 6: Final answer
    x = 2,415,078,122.53

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.