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Finding the Third Proportional to 586,542 and 906,768

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Solution

The third proportional to 586,542 and 906,768 is: 1,401,823.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,542 : 906,768 = 906,768 : x
  2. Step 2: Convert to fraction form
    586,542/906,768 = 906,768/x
  3. Step 3: Cross multiply
    586,542x = 906,768 × 906,768
  4. Step 4: Simplify right side
    586,542x = 822,228,205,824
  5. Step 5: Solve for x
    x = 822,228,205,824/586,542
  6. Step 6: Final answer
    x = 1,401,823.24

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.