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Finding the Third Proportional to 644,356 and 1,516,042

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Solution

The third proportional to 644,356 and 1,516,042 is: 3,566,946.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,356 : 1,516,042 = 1,516,042 : x
  2. Step 2: Convert to fraction form
    644,356/1,516,042 = 1,516,042/x
  3. Step 3: Cross multiply
    644,356x = 1,516,042 × 1,516,042
  4. Step 4: Simplify right side
    644,356x = 2,298,383,345,764
  5. Step 5: Solve for x
    x = 2,298,383,345,764/644,356
  6. Step 6: Final answer
    x = 3,566,946.45

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.