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Finding the Third Proportional to 763,490 and 1,724,933

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Solution

The third proportional to 763,490 and 1,724,933 is: 3,897,096.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    763,490 : 1,724,933 = 1,724,933 : x
  2. Step 2: Convert to fraction form
    763,490/1,724,933 = 1,724,933/x
  3. Step 3: Cross multiply
    763,490x = 1,724,933 × 1,724,933
  4. Step 4: Simplify right side
    763,490x = 2,975,393,854,489
  5. Step 5: Solve for x
    x = 2,975,393,854,489/763,490
  6. Step 6: Final answer
    x = 3,897,096.04

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.