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Finding the Third Proportional to 458,475 and 1,007,712

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Solution

The third proportional to 458,475 and 1,007,712 is: 2,214,915.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,475 : 1,007,712 = 1,007,712 : x
  2. Step 2: Convert to fraction form
    458,475/1,007,712 = 1,007,712/x
  3. Step 3: Cross multiply
    458,475x = 1,007,712 × 1,007,712
  4. Step 4: Simplify right side
    458,475x = 1,015,483,474,944
  5. Step 5: Solve for x
    x = 1,015,483,474,944/458,475
  6. Step 6: Final answer
    x = 2,214,915.70

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.