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Finding the Third Proportional to 1,314,961,218 and 1,974,171,501

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Solution

The third proportional to 1,314,961,218 and 1,974,171,501 is: 2,963,854,037.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314,961,218 : 1,974,171,501 = 1,974,171,501 : x
  2. Step 2: Convert to fraction form
    1,314,961,218/1,974,171,501 = 1,974,171,501/x
  3. Step 3: Cross multiply
    1,314,961,218x = 1,974,171,501 × 1,974,171,501
  4. Step 4: Simplify right side
    1,314,961,218x = 3,897,353,115,360,592,896
  5. Step 5: Solve for x
    x = 3,897,353,115,360,592,896/1,314,961,218
  6. Step 6: Final answer
    x = 2,963,854,037.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.