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Finding the Third Proportional to 427,804 and 910,663

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Solution

The third proportional to 427,804 and 910,663 is: 1,938,521.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,804 : 910,663 = 910,663 : x
  2. Step 2: Convert to fraction form
    427,804/910,663 = 910,663/x
  3. Step 3: Cross multiply
    427,804x = 910,663 × 910,663
  4. Step 4: Simplify right side
    427,804x = 829,307,099,569
  5. Step 5: Solve for x
    x = 829,307,099,569/427,804
  6. Step 6: Final answer
    x = 1,938,521.14

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.