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Finding the Third Proportional to 704,866 and 1,054,220

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Solution

The third proportional to 704,866 and 1,054,220 is: 1,576,724.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,866 : 1,054,220 = 1,054,220 : x
  2. Step 2: Convert to fraction form
    704,866/1,054,220 = 1,054,220/x
  3. Step 3: Cross multiply
    704,866x = 1,054,220 × 1,054,220
  4. Step 4: Simplify right side
    704,866x = 1,111,379,808,400
  5. Step 5: Solve for x
    x = 1,111,379,808,400/704,866
  6. Step 6: Final answer
    x = 1,576,724.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.