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Finding the Third Proportional to 469,974,410 and 1,018,026,772

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Solution

The third proportional to 469,974,410 and 1,018,026,772 is: 2,205,180,721.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,974,410 : 1,018,026,772 = 1,018,026,772 : x
  2. Step 2: Convert to fraction form
    469,974,410/1,018,026,772 = 1,018,026,772/x
  3. Step 3: Cross multiply
    469,974,410x = 1,018,026,772 × 1,018,026,772
  4. Step 4: Simplify right side
    469,974,410x = 1,036,378,508,508,739,968
  5. Step 5: Solve for x
    x = 1,036,378,508,508,739,968/469,974,410
  6. Step 6: Final answer
    x = 2,205,180,721.45

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Why These Related Problems?

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