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Finding the Third Proportional to 1,233,585 and 2,630,034

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Solution

The third proportional to 1,233,585 and 2,630,034 is: 5,607,298.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,233,585 : 2,630,034 = 2,630,034 : x
  2. Step 2: Convert to fraction form
    1,233,585/2,630,034 = 2,630,034/x
  3. Step 3: Cross multiply
    1,233,585x = 2,630,034 × 2,630,034
  4. Step 4: Simplify right side
    1,233,585x = 6,917,078,841,156
  5. Step 5: Solve for x
    x = 6,917,078,841,156/1,233,585
  6. Step 6: Final answer
    x = 5,607,298.11

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.