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Finding the Third Proportional to 837,423 and 1,196,113.50

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Solution

The third proportional to 837,423 and 1,196,113.50 is: 1,708,440.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    837,423 : 1,196,113.50 = 1,196,113.50 : x
  2. Step 2: Convert to fraction form
    837,423/1,196,113.50 = 1,196,113.50/x
  3. Step 3: Cross multiply
    837,423x = 1,196,113.50 × 1,196,113.50
  4. Step 4: Simplify right side
    837,423x = 1,430,687,504,882.25
  5. Step 5: Solve for x
    x = 1,430,687,504,882.25/837,423
  6. Step 6: Final answer
    x = 1,708,440.66

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.