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Finding the Third Proportional to 468,045 and 1,104,501

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Solution

The third proportional to 468,045 and 1,104,501 is: 2,606,421.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,045 : 1,104,501 = 1,104,501 : x
  2. Step 2: Convert to fraction form
    468,045/1,104,501 = 1,104,501/x
  3. Step 3: Cross multiply
    468,045x = 1,104,501 × 1,104,501
  4. Step 4: Simplify right side
    468,045x = 1,219,922,459,001
  5. Step 5: Solve for x
    x = 1,219,922,459,001/468,045
  6. Step 6: Final answer
    x = 2,606,421.30

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.