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Finding the Third Proportional to 592,272 and 1,289,664

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Solution

The third proportional to 592,272 and 1,289,664 is: 2,808,225.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,272 : 1,289,664 = 1,289,664 : x
  2. Step 2: Convert to fraction form
    592,272/1,289,664 = 1,289,664/x
  3. Step 3: Cross multiply
    592,272x = 1,289,664 × 1,289,664
  4. Step 4: Simplify right side
    592,272x = 1,663,233,232,896
  5. Step 5: Solve for x
    x = 1,663,233,232,896/592,272
  6. Step 6: Final answer
    x = 2,808,225.33

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