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Finding the Third Proportional to 417,174 and 912,753

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Solution

The third proportional to 417,174 and 912,753 is: 1,997,051.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,174 : 912,753 = 912,753 : x
  2. Step 2: Convert to fraction form
    417,174/912,753 = 912,753/x
  3. Step 3: Cross multiply
    417,174x = 912,753 × 912,753
  4. Step 4: Simplify right side
    417,174x = 833,118,039,009
  5. Step 5: Solve for x
    x = 833,118,039,009/417,174
  6. Step 6: Final answer
    x = 1,997,051.68

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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.