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Finding the Third Proportional to 461,603,056 and 974,714,336

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Solution

The third proportional to 461,603,056 and 974,714,336 is: 2,058,192,692.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,603,056 : 974,714,336 = 974,714,336 : x
  2. Step 2: Convert to fraction form
    461,603,056/974,714,336 = 974,714,336/x
  3. Step 3: Cross multiply
    461,603,056x = 974,714,336 × 974,714,336
  4. Step 4: Simplify right side
    461,603,056x = 950,068,036,803,920,896
  5. Step 5: Solve for x
    x = 950,068,036,803,920,896/461,603,056
  6. Step 6: Final answer
    x = 2,058,192,692.74

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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.