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Finding the Third Proportional to 469,974,412 and 1,018,026,776

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Solution

The third proportional to 469,974,412 and 1,018,026,776 is: 2,205,180,729.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,974,412 : 1,018,026,776 = 1,018,026,776 : x
  2. Step 2: Convert to fraction form
    469,974,412/1,018,026,776 = 1,018,026,776/x
  3. Step 3: Cross multiply
    469,974,412x = 1,018,026,776 × 1,018,026,776
  4. Step 4: Simplify right side
    469,974,412x = 1,036,378,516,652,954,112
  5. Step 5: Solve for x
    x = 1,036,378,516,652,954,112/469,974,412
  6. Step 6: Final answer
    x = 2,205,180,729.40

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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.