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Finding the Third Proportional to 723,346 and 1,546,342

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Solution

The third proportional to 723,346 and 1,546,342 is: 3,305,712.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    723,346 : 1,546,342 = 1,546,342 : x
  2. Step 2: Convert to fraction form
    723,346/1,546,342 = 1,546,342/x
  3. Step 3: Cross multiply
    723,346x = 1,546,342 × 1,546,342
  4. Step 4: Simplify right side
    723,346x = 2,391,173,580,964
  5. Step 5: Solve for x
    x = 2,391,173,580,964/723,346
  6. Step 6: Final answer
    x = 3,305,712.04

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.