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Finding the Third Proportional to 469,974,408 and 1,018,026,768

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Solution

The third proportional to 469,974,408 and 1,018,026,768 is: 2,205,180,713.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,974,408 : 1,018,026,768 = 1,018,026,768 : x
  2. Step 2: Convert to fraction form
    469,974,408/1,018,026,768 = 1,018,026,768/x
  3. Step 3: Cross multiply
    469,974,408x = 1,018,026,768 × 1,018,026,768
  4. Step 4: Simplify right side
    469,974,408x = 1,036,378,500,364,525,824
  5. Step 5: Solve for x
    x = 1,036,378,500,364,525,824/469,974,408
  6. Step 6: Final answer
    x = 2,205,180,713.51

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.