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Finding the Third Proportional to 458,440 and 975,932

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Solution

The third proportional to 458,440 and 975,932 is: 2,077,574.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,440 : 975,932 = 975,932 : x
  2. Step 2: Convert to fraction form
    458,440/975,932 = 975,932/x
  3. Step 3: Cross multiply
    458,440x = 975,932 × 975,932
  4. Step 4: Simplify right side
    458,440x = 952,443,268,624
  5. Step 5: Solve for x
    x = 952,443,268,624/458,440
  6. Step 6: Final answer
    x = 2,077,574.53

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.