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Finding the Third Proportional to 906,196 and 1,439,646

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Solution

The third proportional to 906,196 and 1,439,646 is: 2,287,121.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    906,196 : 1,439,646 = 1,439,646 : x
  2. Step 2: Convert to fraction form
    906,196/1,439,646 = 1,439,646/x
  3. Step 3: Cross multiply
    906,196x = 1,439,646 × 1,439,646
  4. Step 4: Simplify right side
    906,196x = 2,072,580,605,316
  5. Step 5: Solve for x
    x = 2,072,580,605,316/906,196
  6. Step 6: Final answer
    x = 2,287,121.78

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.