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Finding the Third Proportional to 474,957 and 999,117

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Solution

The third proportional to 474,957 and 999,117 is: 2,101,737.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,957 : 999,117 = 999,117 : x
  2. Step 2: Convert to fraction form
    474,957/999,117 = 999,117/x
  3. Step 3: Cross multiply
    474,957x = 999,117 × 999,117
  4. Step 4: Simplify right side
    474,957x = 998,234,779,689
  5. Step 5: Solve for x
    x = 998,234,779,689/474,957
  6. Step 6: Final answer
    x = 2,101,737.17

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Why These Related Problems?

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