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Finding the Third Proportional to 260,127,146 and 534,044,413

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Solution

The third proportional to 260,127,146 and 534,044,413 is: 1,096,400,123.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,127,146 : 534,044,413 = 534,044,413 : x
  2. Step 2: Convert to fraction form
    260,127,146/534,044,413 = 534,044,413/x
  3. Step 3: Cross multiply
    260,127,146x = 534,044,413 × 534,044,413
  4. Step 4: Simplify right side
    260,127,146x = 285,203,435,056,514,560
  5. Step 5: Solve for x
    x = 285,203,435,056,514,560/260,127,146
  6. Step 6: Final answer
    x = 1,096,400,123.72

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.