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Finding the Third Proportional to 592,346 and 1,155,168

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Solution

The third proportional to 592,346 and 1,155,168 is: 2,252,759.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,346 : 1,155,168 = 1,155,168 : x
  2. Step 2: Convert to fraction form
    592,346/1,155,168 = 1,155,168/x
  3. Step 3: Cross multiply
    592,346x = 1,155,168 × 1,155,168
  4. Step 4: Simplify right side
    592,346x = 1,334,413,108,224
  5. Step 5: Solve for x
    x = 1,334,413,108,224/592,346
  6. Step 6: Final answer
    x = 2,252,759.55

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These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.