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Finding the Third Proportional to 450,542 and 975,440

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Solution

The third proportional to 450,542 and 975,440 is: 2,111,863.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,542 : 975,440 = 975,440 : x
  2. Step 2: Convert to fraction form
    450,542/975,440 = 975,440/x
  3. Step 3: Cross multiply
    450,542x = 975,440 × 975,440
  4. Step 4: Simplify right side
    450,542x = 951,483,193,600
  5. Step 5: Solve for x
    x = 951,483,193,600/450,542
  6. Step 6: Final answer
    x = 2,111,863.47

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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.