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Finding the Third Proportional to 493,360 and 1,069,664

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Solution

The third proportional to 493,360 and 1,069,664 is: 2,319,160.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,360 : 1,069,664 = 1,069,664 : x
  2. Step 2: Convert to fraction form
    493,360/1,069,664 = 1,069,664/x
  3. Step 3: Cross multiply
    493,360x = 1,069,664 × 1,069,664
  4. Step 4: Simplify right side
    493,360x = 1,144,181,072,896
  5. Step 5: Solve for x
    x = 1,144,181,072,896/493,360
  6. Step 6: Final answer
    x = 2,319,160.60

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