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Finding the Third Proportional to 837,070 and 1,330,334

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Solution

The third proportional to 837,070 and 1,330,334 is: 2,114,265.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    837,070 : 1,330,334 = 1,330,334 : x
  2. Step 2: Convert to fraction form
    837,070/1,330,334 = 1,330,334/x
  3. Step 3: Cross multiply
    837,070x = 1,330,334 × 1,330,334
  4. Step 4: Simplify right side
    837,070x = 1,769,788,551,556
  5. Step 5: Solve for x
    x = 1,769,788,551,556/837,070
  6. Step 6: Final answer
    x = 2,114,265.89

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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.