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Finding the Third Proportional to 458,953 and 999,562

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Solution

The third proportional to 458,953 and 999,562 is: 2,176,964.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,953 : 999,562 = 999,562 : x
  2. Step 2: Convert to fraction form
    458,953/999,562 = 999,562/x
  3. Step 3: Cross multiply
    458,953x = 999,562 × 999,562
  4. Step 4: Simplify right side
    458,953x = 999,124,191,844
  5. Step 5: Solve for x
    x = 999,124,191,844/458,953
  6. Step 6: Final answer
    x = 2,176,964.07

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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.