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Finding the Third Proportional to 458,964 and 999,582

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Solution

The third proportional to 458,964 and 999,582 is: 2,176,999.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,964 : 999,582 = 999,582 : x
  2. Step 2: Convert to fraction form
    458,964/999,582 = 999,582/x
  3. Step 3: Cross multiply
    458,964x = 999,582 × 999,582
  4. Step 4: Simplify right side
    458,964x = 999,164,174,724
  5. Step 5: Solve for x
    x = 999,164,174,724/458,964
  6. Step 6: Final answer
    x = 2,176,999.01

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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.