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Finding the Third Proportional to 458,955 and 999,565

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Solution

The third proportional to 458,955 and 999,565 is: 2,176,967.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,955 : 999,565 = 999,565 : x
  2. Step 2: Convert to fraction form
    458,955/999,565 = 999,565/x
  3. Step 3: Cross multiply
    458,955x = 999,565 × 999,565
  4. Step 4: Simplify right side
    458,955x = 999,130,189,225
  5. Step 5: Solve for x
    x = 999,130,189,225/458,955
  6. Step 6: Final answer
    x = 2,176,967.65

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.