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Finding the Third Proportional to 674,835.50 and 1,034,803

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Solution

The third proportional to 674,835.50 and 1,034,803 is: 1,586,782.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    674,835.50 : 1,034,803 = 1,034,803 : x
  2. Step 2: Convert to fraction form
    674,835.50/1,034,803 = 1,034,803/x
  3. Step 3: Cross multiply
    674,835.50x = 1,034,803 × 1,034,803
  4. Step 4: Simplify right side
    674,835.50x = 1,070,817,248,809
  5. Step 5: Solve for x
    x = 1,070,817,248,809/674,835.50
  6. Step 6: Final answer
    x = 1,586,782.63

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.