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Finding the Third Proportional to 461,603,001 and 974,714,226

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Solution

The third proportional to 461,603,001 and 974,714,226 is: 2,058,192,473.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,603,001 : 974,714,226 = 974,714,226 : x
  2. Step 2: Convert to fraction form
    461,603,001/974,714,226 = 974,714,226/x
  3. Step 3: Cross multiply
    461,603,001x = 974,714,226 × 974,714,226
  4. Step 4: Simplify right side
    461,603,001x = 950,067,822,366,779,136
  5. Step 5: Solve for x
    x = 950,067,822,366,779,136/461,603,001
  6. Step 6: Final answer
    x = 2,058,192,473.42

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.