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Finding the Third Proportional to 630,258 and 1,382,961

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Solution

The third proportional to 630,258 and 1,382,961 is: 3,034,600.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,258 : 1,382,961 = 1,382,961 : x
  2. Step 2: Convert to fraction form
    630,258/1,382,961 = 1,382,961/x
  3. Step 3: Cross multiply
    630,258x = 1,382,961 × 1,382,961
  4. Step 4: Simplify right side
    630,258x = 1,912,581,127,521
  5. Step 5: Solve for x
    x = 1,912,581,127,521/630,258
  6. Step 6: Final answer
    x = 3,034,600.32

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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.