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Finding the Third Proportional to 474,026 and 1,036,737

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Solution

The third proportional to 474,026 and 1,036,737 is: 2,267,435.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,026 : 1,036,737 = 1,036,737 : x
  2. Step 2: Convert to fraction form
    474,026/1,036,737 = 1,036,737/x
  3. Step 3: Cross multiply
    474,026x = 1,036,737 × 1,036,737
  4. Step 4: Simplify right side
    474,026x = 1,074,823,607,169
  5. Step 5: Solve for x
    x = 1,074,823,607,169/474,026
  6. Step 6: Final answer
    x = 2,267,435.98

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.