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Finding the Third Proportional to 474,047 and 880,840

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Solution

The third proportional to 474,047 and 880,840 is: 1,636,713.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,047 : 880,840 = 880,840 : x
  2. Step 2: Convert to fraction form
    474,047/880,840 = 880,840/x
  3. Step 3: Cross multiply
    474,047x = 880,840 × 880,840
  4. Step 4: Simplify right side
    474,047x = 775,879,105,600
  5. Step 5: Solve for x
    x = 775,879,105,600/474,047
  6. Step 6: Final answer
    x = 1,636,713.46

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.