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Finding the Third Proportional to 678,699 and 1,423,494

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Solution

The third proportional to 678,699 and 1,423,494 is: 2,985,616.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,699 : 1,423,494 = 1,423,494 : x
  2. Step 2: Convert to fraction form
    678,699/1,423,494 = 1,423,494/x
  3. Step 3: Cross multiply
    678,699x = 1,423,494 × 1,423,494
  4. Step 4: Simplify right side
    678,699x = 2,026,335,168,036
  5. Step 5: Solve for x
    x = 2,026,335,168,036/678,699
  6. Step 6: Final answer
    x = 2,985,616.85

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.