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Finding the Third Proportional to 574,657 and 1,165,729

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Solution

The third proportional to 574,657 and 1,165,729 is: 2,364,756.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    574,657 : 1,165,729 = 1,165,729 : x
  2. Step 2: Convert to fraction form
    574,657/1,165,729 = 1,165,729/x
  3. Step 3: Cross multiply
    574,657x = 1,165,729 × 1,165,729
  4. Step 4: Simplify right side
    574,657x = 1,358,924,101,441
  5. Step 5: Solve for x
    x = 1,358,924,101,441/574,657
  6. Step 6: Final answer
    x = 2,364,756.89

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.