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Finding the Third Proportional to 884,364 and 1,894,900

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Solution

The third proportional to 884,364 and 1,894,900 is: 4,060,144.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    884,364 : 1,894,900 = 1,894,900 : x
  2. Step 2: Convert to fraction form
    884,364/1,894,900 = 1,894,900/x
  3. Step 3: Cross multiply
    884,364x = 1,894,900 × 1,894,900
  4. Step 4: Simplify right side
    884,364x = 3,590,646,010,000
  5. Step 5: Solve for x
    x = 3,590,646,010,000/884,364
  6. Step 6: Final answer
    x = 4,060,144.93

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.