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Finding the Third Proportional to 630,098 and 1,382,674

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Solution

The third proportional to 630,098 and 1,382,674 is: 3,034,111.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,098 : 1,382,674 = 1,382,674 : x
  2. Step 2: Convert to fraction form
    630,098/1,382,674 = 1,382,674/x
  3. Step 3: Cross multiply
    630,098x = 1,382,674 × 1,382,674
  4. Step 4: Simplify right side
    630,098x = 1,911,787,390,276
  5. Step 5: Solve for x
    x = 1,911,787,390,276/630,098
  6. Step 6: Final answer
    x = 3,034,111.19

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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.