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Finding the Third Proportional to 800,442 and 1,750,693.50

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Solution

The third proportional to 800,442 and 1,750,693.50 is: 3,829,044.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    800,442 : 1,750,693.50 = 1,750,693.50 : x
  2. Step 2: Convert to fraction form
    800,442/1,750,693.50 = 1,750,693.50/x
  3. Step 3: Cross multiply
    800,442x = 1,750,693.50 × 1,750,693.50
  4. Step 4: Simplify right side
    800,442x = 3,064,927,730,942.25
  5. Step 5: Solve for x
    x = 3,064,927,730,942.25/800,442
  6. Step 6: Final answer
    x = 3,829,044.12

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.