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Finding the Third Proportional to 452,304 and 975,816

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Solution

The third proportional to 452,304 and 975,816 is: 2,105,258.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,304 : 975,816 = 975,816 : x
  2. Step 2: Convert to fraction form
    452,304/975,816 = 975,816/x
  3. Step 3: Cross multiply
    452,304x = 975,816 × 975,816
  4. Step 4: Simplify right side
    452,304x = 952,216,865,856
  5. Step 5: Solve for x
    x = 952,216,865,856/452,304
  6. Step 6: Final answer
    x = 2,105,258.56

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.