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Finding the Third Proportional to 630,153 and 1,382,769

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Solution

The third proportional to 630,153 and 1,382,769 is: 3,034,263.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,153 : 1,382,769 = 1,382,769 : x
  2. Step 2: Convert to fraction form
    630,153/1,382,769 = 1,382,769/x
  3. Step 3: Cross multiply
    630,153x = 1,382,769 × 1,382,769
  4. Step 4: Simplify right side
    630,153x = 1,912,050,107,361
  5. Step 5: Solve for x
    x = 1,912,050,107,361/630,153
  6. Step 6: Final answer
    x = 3,034,263.28

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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.