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Finding the Third Proportional to 2,894,973 and 6,187,514

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Solution

The third proportional to 2,894,973 and 6,187,514 is: 13,224,762.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,894,973 : 6,187,514 = 6,187,514 : x
  2. Step 2: Convert to fraction form
    2,894,973/6,187,514 = 6,187,514/x
  3. Step 3: Cross multiply
    2,894,973x = 6,187,514 × 6,187,514
  4. Step 4: Simplify right side
    2,894,973x = 38,285,329,500,196
  5. Step 5: Solve for x
    x = 38,285,329,500,196/2,894,973
  6. Step 6: Final answer
    x = 13,224,762.20

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.