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Finding the Third Proportional to 837,076 and 1,330,343

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Solution

The third proportional to 837,076 and 1,330,343 is: 2,114,279.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    837,076 : 1,330,343 = 1,330,343 : x
  2. Step 2: Convert to fraction form
    837,076/1,330,343 = 1,330,343/x
  3. Step 3: Cross multiply
    837,076x = 1,330,343 × 1,330,343
  4. Step 4: Simplify right side
    837,076x = 1,769,812,497,649
  5. Step 5: Solve for x
    x = 1,769,812,497,649/837,076
  6. Step 6: Final answer
    x = 2,114,279.35

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.