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Finding the Third Proportional to 466,747 and 1,018,318

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Solution

The third proportional to 466,747 and 1,018,318 is: 2,221,699.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,747 : 1,018,318 = 1,018,318 : x
  2. Step 2: Convert to fraction form
    466,747/1,018,318 = 1,018,318/x
  3. Step 3: Cross multiply
    466,747x = 1,018,318 × 1,018,318
  4. Step 4: Simplify right side
    466,747x = 1,036,971,549,124
  5. Step 5: Solve for x
    x = 1,036,971,549,124/466,747
  6. Step 6: Final answer
    x = 2,221,699.44

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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.