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Finding the Third Proportional to 1,321,410 and 2,885,514

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Solution

The third proportional to 1,321,410 and 2,885,514 is: 6,300,989.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,321,410 : 2,885,514 = 2,885,514 : x
  2. Step 2: Convert to fraction form
    1,321,410/2,885,514 = 2,885,514/x
  3. Step 3: Cross multiply
    1,321,410x = 2,885,514 × 2,885,514
  4. Step 4: Simplify right side
    1,321,410x = 8,326,191,044,196
  5. Step 5: Solve for x
    x = 8,326,191,044,196/1,321,410
  6. Step 6: Final answer
    x = 6,300,989.89

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.