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Finding the Third Proportional to 865,364 and 1,290,844

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Solution

The third proportional to 865,364 and 1,290,844 is: 1,925,522.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    865,364 : 1,290,844 = 1,290,844 : x
  2. Step 2: Convert to fraction form
    865,364/1,290,844 = 1,290,844/x
  3. Step 3: Cross multiply
    865,364x = 1,290,844 × 1,290,844
  4. Step 4: Simplify right side
    865,364x = 1,666,278,232,336
  5. Step 5: Solve for x
    x = 1,666,278,232,336/865,364
  6. Step 6: Final answer
    x = 1,925,522.94

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.