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Finding the Third Proportional to 630,174 and 1,382,810

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Solution

The third proportional to 630,174 and 1,382,810 is: 3,034,342.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,174 : 1,382,810 = 1,382,810 : x
  2. Step 2: Convert to fraction form
    630,174/1,382,810 = 1,382,810/x
  3. Step 3: Cross multiply
    630,174x = 1,382,810 × 1,382,810
  4. Step 4: Simplify right side
    630,174x = 1,912,163,496,100
  5. Step 5: Solve for x
    x = 1,912,163,496,100/630,174
  6. Step 6: Final answer
    x = 3,034,342.10

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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.