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Finding the Third Proportional to 935,185.50 and 1,457,514

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Solution

The third proportional to 935,185.50 and 1,457,514 is: 2,271,578.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    935,185.50 : 1,457,514 = 1,457,514 : x
  2. Step 2: Convert to fraction form
    935,185.50/1,457,514 = 1,457,514/x
  3. Step 3: Cross multiply
    935,185.50x = 1,457,514 × 1,457,514
  4. Step 4: Simplify right side
    935,185.50x = 2,124,347,060,196
  5. Step 5: Solve for x
    x = 2,124,347,060,196/935,185.50
  6. Step 6: Final answer
    x = 2,271,578.27

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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.