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Finding the Third Proportional to 456,034 and 999,629

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Solution

The third proportional to 456,034 and 999,629 is: 2,191,192.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,034 : 999,629 = 999,629 : x
  2. Step 2: Convert to fraction form
    456,034/999,629 = 999,629/x
  3. Step 3: Cross multiply
    456,034x = 999,629 × 999,629
  4. Step 4: Simplify right side
    456,034x = 999,258,137,641
  5. Step 5: Solve for x
    x = 999,258,137,641/456,034
  6. Step 6: Final answer
    x = 2,191,192.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.