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Finding the Third Proportional to 935,389 and 1,457,839.50

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Solution

The third proportional to 935,389 and 1,457,839.50 is: 2,272,098.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    935,389 : 1,457,839.50 = 1,457,839.50 : x
  2. Step 2: Convert to fraction form
    935,389/1,457,839.50 = 1,457,839.50/x
  3. Step 3: Cross multiply
    935,389x = 1,457,839.50 × 1,457,839.50
  4. Step 4: Simplify right side
    935,389x = 2,125,296,007,760.25
  5. Step 5: Solve for x
    x = 2,125,296,007,760.25/935,389
  6. Step 6: Final answer
    x = 2,272,098.57

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.