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Finding the Third Proportional to 721,664 and 1,566,262

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Solution

The third proportional to 721,664 and 1,566,262 is: 3,399,333.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    721,664 : 1,566,262 = 1,566,262 : x
  2. Step 2: Convert to fraction form
    721,664/1,566,262 = 1,566,262/x
  3. Step 3: Cross multiply
    721,664x = 1,566,262 × 1,566,262
  4. Step 4: Simplify right side
    721,664x = 2,453,176,652,644
  5. Step 5: Solve for x
    x = 2,453,176,652,644/721,664
  6. Step 6: Final answer
    x = 3,399,333.56

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.