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Finding the Third Proportional to 450,688 and 975,744

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Solution

The third proportional to 450,688 and 975,744 is: 2,112,495.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,688 : 975,744 = 975,744 : x
  2. Step 2: Convert to fraction form
    450,688/975,744 = 975,744/x
  3. Step 3: Cross multiply
    450,688x = 975,744 × 975,744
  4. Step 4: Simplify right side
    450,688x = 952,076,353,536
  5. Step 5: Solve for x
    x = 952,076,353,536/450,688
  6. Step 6: Final answer
    x = 2,112,495.46

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.