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Finding the Third Proportional to 1,726,542 and 4,032,639

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Solution

The third proportional to 1,726,542 and 4,032,639 is: 9,418,929.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,726,542 : 4,032,639 = 4,032,639 : x
  2. Step 2: Convert to fraction form
    1,726,542/4,032,639 = 4,032,639/x
  3. Step 3: Cross multiply
    1,726,542x = 4,032,639 × 4,032,639
  4. Step 4: Simplify right side
    1,726,542x = 16,262,177,304,321
  5. Step 5: Solve for x
    x = 16,262,177,304,321/1,726,542
  6. Step 6: Final answer
    x = 9,418,929.46

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.