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Finding the Third Proportional to 630,924 and 1,366,770

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Solution

The third proportional to 630,924 and 1,366,770 is: 2,960,832.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,924 : 1,366,770 = 1,366,770 : x
  2. Step 2: Convert to fraction form
    630,924/1,366,770 = 1,366,770/x
  3. Step 3: Cross multiply
    630,924x = 1,366,770 × 1,366,770
  4. Step 4: Simplify right side
    630,924x = 1,868,060,232,900
  5. Step 5: Solve for x
    x = 1,868,060,232,900/630,924
  6. Step 6: Final answer
    x = 2,960,832.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.