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Finding the Third Proportional to 442,772 and 950,046

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Solution

The third proportional to 442,772 and 950,046 is: 2,038,492.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,772 : 950,046 = 950,046 : x
  2. Step 2: Convert to fraction form
    442,772/950,046 = 950,046/x
  3. Step 3: Cross multiply
    442,772x = 950,046 × 950,046
  4. Step 4: Simplify right side
    442,772x = 902,587,402,116
  5. Step 5: Solve for x
    x = 902,587,402,116/442,772
  6. Step 6: Final answer
    x = 2,038,492.50

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.