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Finding the Third Proportional to 464,542 and 1,017,658

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Solution

The third proportional to 464,542 and 1,017,658 is: 2,229,352.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,542 : 1,017,658 = 1,017,658 : x
  2. Step 2: Convert to fraction form
    464,542/1,017,658 = 1,017,658/x
  3. Step 3: Cross multiply
    464,542x = 1,017,658 × 1,017,658
  4. Step 4: Simplify right side
    464,542x = 1,035,627,804,964
  5. Step 5: Solve for x
    x = 1,035,627,804,964/464,542
  6. Step 6: Final answer
    x = 2,229,352.36

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.