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Finding the Third Proportional to 677,673 and 1,411,488

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Solution

The third proportional to 677,673 and 1,411,488 is: 2,939,911.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,673 : 1,411,488 = 1,411,488 : x
  2. Step 2: Convert to fraction form
    677,673/1,411,488 = 1,411,488/x
  3. Step 3: Cross multiply
    677,673x = 1,411,488 × 1,411,488
  4. Step 4: Simplify right side
    677,673x = 1,992,298,374,144
  5. Step 5: Solve for x
    x = 1,992,298,374,144/677,673
  6. Step 6: Final answer
    x = 2,939,911.10

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.