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Finding the Third Proportional to 381,460,356 and 823,903,004

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Solution

The third proportional to 381,460,356 and 823,903,004 is: 1,779,519,547.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,460,356 : 823,903,004 = 823,903,004 : x
  2. Step 2: Convert to fraction form
    381,460,356/823,903,004 = 823,903,004/x
  3. Step 3: Cross multiply
    381,460,356x = 823,903,004 × 823,903,004
  4. Step 4: Simplify right side
    381,460,356x = 678,816,160,000,224,000
  5. Step 5: Solve for x
    x = 678,816,160,000,224,000/381,460,356
  6. Step 6: Final answer
    x = 1,779,519,547.24

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.