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Finding the Third Proportional to 420,624 and 917,370

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Solution

The third proportional to 420,624 and 917,370 is: 2,000,760.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,624 : 917,370 = 917,370 : x
  2. Step 2: Convert to fraction form
    420,624/917,370 = 917,370/x
  3. Step 3: Cross multiply
    420,624x = 917,370 × 917,370
  4. Step 4: Simplify right side
    420,624x = 841,567,716,900
  5. Step 5: Solve for x
    x = 841,567,716,900/420,624
  6. Step 6: Final answer
    x = 2,000,760.10

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.